How tetraquarks can generate a second chiral phase transition
Abstract
We consider how tetraquarks can affect the chiral phase transition in theories like QCD, with light quarks coupled to three colors. For two flavors the tetraquark field is an isosinglet, and its effect is minimal. For three flavors, however, the tetraquark field transforms in the same representation of the chiral symmetry group as the usual chiral order parameter, and so for very light quarks there may be two chiral phase transitions, which are both of first order. In QCD, results from the lattice indicate that any transition from the tetraquark condensate is a smooth crossover. In the plane of temperature, T, and quark chemical potential, μ, though, a crossover line for the tetraquark condensate is naturally related to the transition line for color superconductivity. For four flavors we suggest that a triquark field, antisymmetric in both flavor and color, combine to form hexaquarks.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
- Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Under Secretary for Science (S-4); USDOE
- OSTI Identifier:
- 1338595
- Alternate Identifier(s):
- OSTI ID: 1323573
- Report Number(s):
- BNL-113229-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: KB0301020; KB0301020; TRN: US1701650
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; tetraquarks
Citation Formats
Pisarski, Robert D., and Skokov, Vladimir V. How tetraquarks can generate a second chiral phase transition. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.94.054008.
Pisarski, Robert D., & Skokov, Vladimir V. How tetraquarks can generate a second chiral phase transition. United States. https://doi.org/10.1103/PhysRevD.94.054008
Pisarski, Robert D., and Skokov, Vladimir V. 2016.
"How tetraquarks can generate a second chiral phase transition". United States. https://doi.org/10.1103/PhysRevD.94.054008. https://www.osti.gov/servlets/purl/1338595.
@article{osti_1338595,
title = {How tetraquarks can generate a second chiral phase transition},
author = {Pisarski, Robert D. and Skokov, Vladimir V.},
abstractNote = {We consider how tetraquarks can affect the chiral phase transition in theories like QCD, with light quarks coupled to three colors. For two flavors the tetraquark field is an isosinglet, and its effect is minimal. For three flavors, however, the tetraquark field transforms in the same representation of the chiral symmetry group as the usual chiral order parameter, and so for very light quarks there may be two chiral phase transitions, which are both of first order. In QCD, results from the lattice indicate that any transition from the tetraquark condensate is a smooth crossover. In the plane of temperature, T, and quark chemical potential, μ, though, a crossover line for the tetraquark condensate is naturally related to the transition line for color superconductivity. For four flavors we suggest that a triquark field, antisymmetric in both flavor and color, combine to form hexaquarks.},
doi = {10.1103/PhysRevD.94.054008},
url = {https://www.osti.gov/biblio/1338595},
journal = {Physical Review D},
issn = {2470-0010},
number = 5,
volume = 94,
place = {United States},
year = {Fri Sep 09 00:00:00 EDT 2016},
month = {Fri Sep 09 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Doubly Heavy Tetraquarks and Baryons
journal, January 2014
- Karliner, Marek
- EPJ Web of Conferences, Vol. 71
Chiral matrix model of the semi-QGP in QCD
journal, August 2016
- Pisarski, Robert D.; Skokov, Vladimir V.
- Physical Review D, Vol. 94, Issue 3
A chiral q ¯ q ¯ q q nonet?
journal, December 2004
- Napsuciale, Mauro; Rodríguez, Simón
- Physics Letters B, Vol. 603, Issue 3-4
Narrow tetraquarks at large
journal, August 2013
- Knecht, Marc; Peris, Santiago
- Physical Review D, Vol. 88, Issue 3
Tetraquark Mesons in Large- Quantum Chromodynamics
journal, June 2013
- Weinberg, Steven
- Physical Review Letters, Vol. 110, Issue 26
Glueball in a chiral linear sigma model with vector mesons
journal, September 2011
- Janowski, Stanislaus; Parganlija, Denis; Giacosa, Francesco
- Physical Review D, Vol. 84, Issue 5
Multiquark hadrons. I. Phenomenology of mesons
journal, January 1977
- Jaffe, R. J.
- Physical Review D, Vol. 15, Issue 1
Probing the substructure of
journal, April 2015
- Fariborz, Amir H.; Azizi, Azizollah; Asrar, Abdorreza
- Physical Review D, Vol. 91, Issue 7
Putative light scalar nonet
journal, March 1999
- Black, Deirdre; Fariborz, Amir H.; Sannino, Francesco
- Physical Review D, Vol. 59, Issue 7
Is a glueball?
journal, December 2014
- Janowski, Stanislaus; Giacosa, Francesco; Rischke, Dirk H.
- Physical Review D, Vol. 90, Issue 11
Chiral nonet mixing in decay
journal, August 2014
- Fariborz, Amir H.; Schechter, Joseph; Zarepour, Soodeh
- Physical Review D, Vol. 90, Issue 3
Fluctuation induced first order phase transition in models using chiral invariant expansion of functional renormalization group flows
journal, November 2014
- Fejős, G.
- Physical Review D, Vol. 90, Issue 9
Equation of state and QCD transition at finite temperature
journal, July 2009
- Bazavov, A.; Bhattacharya, T.; Cheng, M.
- Physical Review D, Vol. 80, Issue 1
Tetraquark bound states in a Bethe–Salpeter approach
journal, December 2012
- Heupel, Walter; Eichmann, Gernot; Fischer, Christian S.
- Physics Letters B, Vol. 718, Issue 2
How instantons solve the U(1) problem
journal, September 1986
- 't Hooft, G.
- Physics Reports, Vol. 142, Issue 6
Event-by-event fluctuations in heavy ion collisions and the QCD critical point
journal, November 1999
- Stephanov, M.; Rajagopal, K.; Shuryak, E.
- Physical Review D, Vol. 60, Issue 11
Mesons Beyond the Quark--Antiquark Picture
journal, January 2016
- Giacosa, F.
- Acta Physica Polonica B, Vol. 47, Issue 1
The Scalar--Isovector Sector in the Extended Linear Sigma Model
journal, January 2014
- Wolkanowski, T.; Giacosa, F.
- Acta Physica Polonica B Proceedings Supplement, Vol. 7, Issue 3
Superfluidity in a model of massless fermions coupled to scalar bosons
journal, October 1999
- Pisarski, Robert D.; Rischke, Dirk H.
- Physical Review D, Vol. 60, Issue 9
Mechanism for a next-to-lowest lying scalar meson nonet
journal, February 2000
- Black, Deirdre; Fariborz, Amir H.; Schechter, Joseph
- Physical Review D, Vol. 61, Issue 7
Chiral phase transition with mixing between scalar quarkonium and tetraquark
journal, March 2014
- Mukherjee, Tamal K.; Huang, Mei
- Physical Review D, Vol. 89, Issue 7
The light scalar mesons as tetraquarks
journal, February 2016
- Eichmann, Gernot; Fischer, Christian S.; Heupel, Walter
- Physics Letters B, Vol. 753
Equation of state in ( )-flavor QCD
journal, November 2014
- Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C.
- Physical Review D, Vol. 90, Issue 9
QCD chiral transition, symmetry and the dirac spectrum using domain wall fermions
journal, March 2014
- Buchoff, Michael I.; Cheng, Michael; Christ, Norman H.
- Physical Review D, Vol. 89, Issue 5
Remarks on the axial symmetry and the chiral transition in QCD at finite temperature
journal, November 2013
- Meggiolaro, Enrico; Mordà, Alessandro
- Physical Review D, Vol. 88, Issue 9
The QCD equation of state with dynamical quarks
journal, November 2010
- Borsányi, Szabolcs; Endrődi, Gergely; Fodor, Zoltán
- Journal of High Energy Physics, Vol. 2010, Issue 11
Toy model for two chiral nonets
journal, August 2005
- Fariborz, Amir H.; Jora, Renata; Schechter, Joseph
- Physical Review D, Vol. 72, Issue 3
Model for light scalar mesons in QCD
journal, July 2007
- Fariborz, Amir H.; Jora, Renata; Schechter, Joseph
- Physical Review D, Vol. 76, Issue 1
Critical endpoint for deconfinement in matrix and other effective models
journal, June 2012
- Kashiwa, Kouji; Pisarski, Robert D.; Skokov, Vladimir V.
- Physical Review D, Vol. 85, Issue 11
Linking to model via decoupling
journal, February 2015
- Sato, Tomomi; Yamada, Norikazu
- Physical Review D, Vol. 91, Issue 3
Mesons beyond the naive quark model
journal, January 2004
- Amsler, C.
- Physics Reports, Vol. 389, Issue 2
Functional renormalization group study of the chiral phase transition including vector and axial-vector mesons
journal, November 2015
- Eser, Jürgen; Grahl, Mara; Rischke, Dirk H.
- Physical Review D, Vol. 92, Issue 9
Phases of dense quarks at large
journal, November 2007
- McLerran, Larry; Pisarski, Robert D.
- Nuclear Physics A, Vol. 796, Issue 1-4
QCD equation of state with almost physical quark masses
journal, January 2008
- Cheng, M.; Christ, N. H.; Datta, S.
- Physical Review D, Vol. 77, Issue 1
Continuity of Quark and Hadron Matter
journal, May 1999
- Schäfer, Thomas; Wilczek, Frank
- Physical Review Letters, Vol. 82, Issue 20
Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
journal, January 2013
- Parganlija, D.; Kovács, P.; Wolf, Gy.
- Physical Review D, Vol. 87, Issue 1
Approaching the conformal window of symmetric Landau-Ginzburg models using the conformal bootstrap
journal, June 2014
- Nakayama, Yu; Ohtsuki, Tomoki
- Physical Review D, Vol. 89, Issue 12
Note on a sigma model connection with instanton dynamics
journal, May 2008
- Fariborz, Amir H.; Jora, Renata; Schechter, Joseph
- Physical Review D, Vol. 77, Issue 9
Chiral nonet mixing in scattering
journal, December 2011
- Fariborz, Amir H.; Jora, Renata; Schechter, Joseph
- Physical Review D, Vol. 84, Issue 11
Full result for the QCD equation of state with <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> flavors
journal, March 2014
- Borsányi, Szabolcs; Fodor, Zoltán; Hoelbling, Christian
- Physics Letters B, Vol. 730
Chiral density wave in nuclear matter
journal, January 2015
- Heinz, Achim; Giacosa, Francesco; Rischke, Dirk H.
- Nuclear Physics A, Vol. 933
Do the pentaquarks have strange siblings?
journal, December 2015
- Lebed, Richard F.
- Physical Review D, Vol. 92, Issue 11
New Look at Scalar Mesons
journal, November 2004
- Maiani, L.; Piccinini, F.; Polosa, A. D.
- Physical Review Letters, Vol. 93, Issue 21
LIGHT SCALARS AS TETRAQUARKS OR TWO-MESON STATES FROM LARGE-N c AND UNITARIZED CHIRAL PERTURBATION THEORY
journal, December 2004
- PelÁEz, J. R.
- Modern Physics Letters A, Vol. 19, Issue 39
Global aspects of the scalar meson puzzle
journal, April 2009
- Fariborz, Amir H.; Jora, Renata; Schechter, Joseph
- Physical Review D, Vol. 79, Issue 7
Spontaneous breaking of chiral symmetry, and eventually of parity, in a σ-model with two Mexican hats
journal, December 2009
- Giacosa, Francesco
- The European Physical Journal C, Vol. 65, Issue 3-4
Gaps and critical temperature for color superconductivity
journal, February 2000
- Pisarski, Robert D.; Rischke, Dirk H.
- Physical Review D, Vol. 61, Issue 5
Can Experiment Distinguish Tetraquark Scalars, Molecules and ${\overline q}q$ Mesons?
journal, January 2007
- Pennington, Michael
- Progress of Theoretical Physics Supplement, Vol. 168
Color superconductivity in dense quark matter
journal, November 2008
- Alford, Mark G.; Schmitt, Andreas; Rajagopal, Krishna
- Reviews of Modern Physics, Vol. 80, Issue 4
Chiral and deconfinement aspects of the QCD transition
journal, March 2012
- Bazavov, A.; Bhattacharya, T.; Cheng, M.
- Physical Review D, Vol. 85, Issue 5
Vacuum properties of mesons in a linear sigma model with vector mesons and global chiral invariance
journal, September 2010
- Parganlija, Denis; Giacosa, Francesco; Rischke, Dirk H.
- Physical Review D, Vol. 82, Issue 5
Role of the tetraquark in the chiral phase transition
journal, February 2009
- Heinz, Achim; Strüber, Stefan; Giacosa, Francesco
- Physical Review D, Vol. 79, Issue 3
Tetraquarks in the 1/N expansion and meson-meson resonances
journal, June 2016
- Maiani, L.; Polosa, A. D.; Riquer, V.
- Journal of High Energy Physics, Vol. 2016, Issue 6
Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model
journal, August 2015
- Fejős, G.
- Physical Review D, Vol. 92, Issue 3
Axion cosmology, lattice QCD and the dilute instanton gas
journal, January 2016
- Borsanyi, Sz.; Dierigl, M.; Fodor, Z.
- Physics Letters B, Vol. 752
Diquarks and Exotic Spectroscopy
journal, December 2003
- Jaffe, Robert; Wilczek, Frank
- Physical Review Letters, Vol. 91, Issue 23
Chiral symmetry restoration at finite temperature in the SU(3) × SU(3) sigma model
journal, November 1983
- Goldberg, H.
- Physics Letters B, Vol. 131, Issue 1-3
Scalar mesons above and below 1 GeV
journal, August 2002
- Close, Frank E.; T. rnqvist, Nils A.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 28, Issue 10
Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
journal, November 2013
- Pelissetto, Andrea; Vicari, Ettore
- Physical Review D, Vol. 88, Issue 10
Color-flavor locking and chiral symmetry breaking in high density QCD
journal, January 1999
- Alford, Mark; Rajagopal, Krishna; Wilczek, Frank
- Nuclear Physics B, Vol. 537, Issue 1-3
QCD and instantons at finite temperature
journal, January 1981
- Gross, David J.; Pisarski, Robert D.; Yaffe, Laurence G.
- Reviews of Modern Physics, Vol. 53, Issue 1
Critical line for H superfluidity in strange quark matter?
journal, August 2000
- Pisarski, Robert D.
- Physical Review C, Vol. 62, Issue 3
Low-lying scalars in an extended linear model
journal, December 2012
- Mukherjee, Tamal K.; Huang, Mei; Yan, Qi-Shu
- Physical Review D, Vol. 86, Issue 11
Large- structure of tetraquark mesons
journal, September 2013
- Lebed, Richard F.
- Physical Review D, Vol. 88, Issue 5
Tetraquarks with exotic flavor quantum numbers at large in QCD(AS)
journal, March 2014
- Cohen, Thomas D.; Lebed, Richard F.
- Physical Review D, Vol. 89, Issue 5
Remarks on the chiral phase transition in chromodynamics
journal, January 1984
- Pisarski, Robert D.; Wilczek, Frank
- Physical Review D, Vol. 29, Issue 2
A theory of scalar mesons
journal, May 2008
- 't Hooft, G.; Isidori, G.; Maiani, L.
- Physics Letters B, Vol. 662, Issue 5
The QCD transition temperature: results with physical masses in the continuum limit II
journal, June 2009
- Aoki, Yasumichi; Borsányi, Szabolcs; Dürr, Stephan
- Journal of High Energy Physics, Vol. 2009, Issue 06
Equation of state for physical quark masses
journal, March 2010
- Cheng, M.; Ejiri, S.; Hegde, P.
- Physical Review D, Vol. 81, Issue 5
Nonordinary light meson couplings and the expansion
journal, August 2014
- Cohen, Thomas; Llanes-Estrada, Felipe J.; Pelaez, J. R.
- Physical Review D, Vol. 90, Issue 3
Chiral perturbation theory, the expansion and Regge behavior determine the structure of the lightest scalar meson
journal, November 2011
- Peláez, J. R.; Pennington, M. R.; Ruiz de Elvira, J.
- Physical Review D, Vol. 84, Issue 9
resonance as a tetraquark state and its isospin partner
journal, May 2015
- Chen, Hua-Xing; Cui, Er-Liang; Chen, Wei
- Physical Review D, Vol. 91, Issue 9
Thermodynamics of strong-interaction matter from lattice QCD
journal, October 2015
- Ding, Heng-Tong; Karsch, Frithjof; Mukherjee, Swagato
- International Journal of Modern Physics E, Vol. 24, Issue 10
Two chiral nonet model with massless quarks
journal, February 2008
- Fariborz, Amir H.; Jora, Renata; Schechter, Joseph
- Physical Review D, Vol. 77, Issue 3
Transition temperature in QCD
journal, September 2006
- Cheng, M.; Christ, N. H.; Datta, S.
- Physical Review D, Vol. 74, Issue 5
Is there still any T c mystery in lattice QCD? Results with physical masses in the continuum limit III
journal, September 2010
- Borsányi, Szabolcs; Fodor, Zoltán; Hoelbling, Christian
- Journal of High Energy Physics, Vol. 2010, Issue 9
Bootstrapping phase transitions in QCD and frustrated spin systems
journal, January 2015
- Nakayama, Yu; Ohtsuki, Tomoki
- Physical Review D, Vol. 91, Issue 2
Mixing of scalar tetraquark and quarkonia states in a chiral approach
journal, March 2007
- Giacosa, Francesco
- Physical Review D, Vol. 75, Issue 5
Masses of Heavy and Light Scalar Tetraquarks in a Non-relativistic Quark Model
journal, January 2016
- Ghalenovi, Z.; Giacosa, F.; Rischke, D. H.
- Acta Physica Polonica B, Vol. 47, Issue 5
QCD Phase Transition with Chiral Quarks and Physical Quark Masses
journal, August 2014
- Bhattacharya, Tanmoy; Buchoff, Michael I.; Christ, Norman H.
- Physical Review Letters, Vol. 113, Issue 8
Nuclear matter within a dilatation-invariant parity doublet model: The role of the tetraquark at nonzero density
journal, December 2011
- Gallas, Susanna; Giacosa, Francesco; Pagliara, Giuseppe
- Nuclear Physics A, Vol. 872, Issue 1
Issues and Opportunities in Exotic Hadrons
journal, April 2016
- Briceño, R. A.; Cohen, T. D.; Coito, S.
- Chinese Physics C, Vol. 40, Issue 4
Chiral model for and mesons
journal, November 2004
- Napsuciale, Mauro; Rodríguez, Simón
- Physical Review D, Vol. 70, Issue 9
Chiral symmetry breaking without bilinear condensates, unbroken axial symmetry, and exact QCD inequalities
journal, November 1998
- Kogan, Ian I.; Kovner, Alex; Shifman, M.
- Physical Review D, Vol. 59, Issue 1
Signatures of the Tricritical Point in QCD
journal, November 1998
- Stephanov, M.; Rajagopal, K.; Shuryak, E.
- Physical Review Letters, Vol. 81, Issue 22
Works referencing / citing this record:
Charmed baryon in nuclear matter
journal, November 2017
- Ohtani, Keisuke; Araki, Ken-ji; Oka, Makoto
- Physical Review C, Vol. 96, Issue 5
Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
journal, April 2019
- Lakaschus, Phillip; Mauldin, Justin L. P.; Giacosa, Francesco
- Physical Review C, Vol. 99, Issue 4