Confinement criterion for gauge theories with matter fields

Greensite, Jeff; Matsuyama, Kazue

doi:10.1103/physrevd.96.094510

Title: Confinement criterion for gauge theories with matter fields

Journal Article · Mon Nov 27 00:00:00 EST 2017 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.96.094510· OSTI ID:1541107

Greensite, Jeff ^[1]; Matsuyama, Kazue ^[1]

San Francisco State Univ., CA (United States). Physics and Astronomy Dept.

A generalization of the Wilson loop area-law criterion, which is applicable to gauge theories with matter in the fundamental representation of the gauge group, is proposed. This new criterion, like the area law, is stronger than the statement that asymptotic particle states are massive color singlets, which holds even for theories described by the Brout-Englert-Higgs mechanism.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: San Francisco State Univ., CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0013682

OSTI ID:: 1541107

Alternate ID(s):: OSTI ID: 1410387

Journal Information:: Physical Review. D., Vol. 96, Issue 9; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 20 works

Citation information provided by
Web of Science

References (42)

Gauge-Invariant Formulation of Quantum Electrodynamics Dirac, P. A. M. Canadian Journal of Physics, Vol. 33, Issue 11 https://doi.org/10.1139/p55-081	journal	November 1955
Positivity violation for the lattice Landau gluon propagator Cucchieri, Attilio; Mendes, Tereza; Taurines, Andre R. Physical Review D, Vol. 71, Issue 5 https://doi.org/10.1103/PhysRevD.71.051902	journal	March 2005
Gauge field theories on a lattice Osterwalder, K.; Seiler, E. Annals of Physics, Vol. 110, Issue 2 https://doi.org/10.1016/0003-4916(78)90039-8	journal	February 1978
Confinement criterion for QCD with dynamical quarks Fredenhagen, Klaus; Marcu, Mihail Physical Review Letters, Vol. 56, Issue 3 https://doi.org/10.1103/PhysRevLett.56.223	journal	January 1986
Center dominance in SU(2) gauge-Higgs theory Bertle, Roman; Faber, Manfried; Greensite, Jeff Physical Review D, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevD.69.014007	journal	January 2004
On the SU (2) -Higgs phase transition Campos, Isabel Nuclear Physics B, Vol. 514, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00807-9	journal	March 1998
Restoration of the Local Gauge Symmetry and Color Confinement in Non-Abelian Gauge Theories. II Hata, H. Progress of Theoretical Physics, Vol. 69, Issue 5 https://doi.org/10.1143/PTP.69.1524	journal	May 1983
Which Topological Features of a Gauge Theory can be Responsible for Permanent Confinement? Hooft, G. ’t. Recent Developments in Gauge Theories https://doi.org/10.1007/978-1-4684-7571-5_8	book	January 1980
Phase diagram of the lattice Higgs model Bonati, C.; Cossu, G.; D'Elia, M. Nuclear Physics B, Vol. 828, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2009.12.003	journal	March 2010
Vortices, symmetry breaking, and temporary confinement in SU(2) gauge-Higgs theory Greensite, J.; Olejník, Š. Physical Review D, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevD.74.014502	journal	July 2006
Monte Carlo study of the standard SU(2) Higgs model Langguth, W.; Montvay, I.; Weisz, P. Nuclear Physics B, Vol. 277 https://doi.org/10.1016/0550-3213(86)90430-X	journal	January 1986
Properties of phase transitions of the lattice SU(2) Higgs model Jersák, J.; Lang, C. B.; Neuhaus, T. Physical Review D, Vol. 32, Issue 10 https://doi.org/10.1103/PhysRevD.32.2761	journal	November 1985
The phase structure of a non-abelian gauge Higgs field system Lang, C. B.; Rebbi, C.; Virasoro, M. Physics Letters B, Vol. 104, Issue 4 https://doi.org/10.1016/0370-2693(81)90129-5	journal	September 1981
Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem Kugo, Taichiro; Ojima, Izumi Progress of Theoretical Physics Supplement, Vol. 66 https://doi.org/10.1143/PTPS.66.1	journal	January 1979
Coulomb energy, remnant symmetry, and the phases of non-Abelian gauge theories Greensite, Jeff; Olejník, Štefan; Zwanziger, Daniel Physical Review D, Vol. 69, Issue 7 https://doi.org/10.1103/PhysRevD.69.074506	journal	April 2004
Higgs phenomenon without a symmetry breaking order parameter Fröhlich, J.; Morchio, G.; Strocchi, F. Physics Letters B, Vol. 97, Issue 2 https://doi.org/10.1016/0370-2693(80)90594-8	journal	December 1980
Phase diagrams of lattice gauge theories with Higgs fields Fradkin, Eduardo; Shenker, Stephen H. Physical Review D, Vol. 19, Issue 12 https://doi.org/10.1103/PhysRevD.19.3682	journal	June 1979
Restoration of the Local Gauge Symmetry and Color Confinement in Non-Abelian Gauge Theories Hata, H. Progress of Theoretical Physics, Vol. 67, Issue 5 https://doi.org/10.1143/PTP.67.1607	journal	May 1982
Propagation properties and condensate formation of the confined Yang-Mills field Stingl, M. Physical Review D, Vol. 34, Issue 12 https://doi.org/10.1103/PhysRevD.34.3863	journal	December 1986
Higgs phenomenon without symmetry breaking order parameter Fröhlich, J.; Morchio, G.; Strocchi, F. Nuclear Physics B, Vol. 190, Issue 3 https://doi.org/10.1016/0550-3213(81)90448-X	journal	October 1981
Ambiguity of spontaneously broken gauge symmetry Caudy, W.; Greensite, J. Physical Review D, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevD.78.025018	journal	July 2008
Systematic Approach to Confinement in $N = 1$ Supersymmetric Gauge Theories Csáki, Csaba; Schmaltz, Martin; Skiba, Witold Physical Review Letters, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevLett.78.799	journal	February 1997
Observing long color flux tubes in SU(2) lattice gauge theory Bali, Gunnar S.; Schlichter, Christoph; Schilling, Klaus Physical Review D, Vol. 51, Issue 9 https://doi.org/10.1103/PhysRevD.51.5165	journal	May 1995
Evidence that centre vortices underpin dynamical chiral symmetry breaking in SU(3) gauge theory Trewartha, Daniel; Kamleh, Waseem; Leinweber, Derek Physics Letters B, Vol. 747 https://doi.org/10.1016/j.physletb.2015.06.025	journal	July 2015
Scaling behavior and positivity violation of the gluon propagator in full QCD Bowman, Patrick O.; Heller, Urs M.; Leinweber, Derek B. Physical Review D, Vol. 76, Issue 9 https://doi.org/10.1103/PhysRevD.76.094505	journal	November 2007
Center vortices and the Gribov horizon Greensite, Jeff; Olejník, Stefan; Zwanziger, Daniel Journal of High Energy Physics, Vol. 2005, Issue 05 https://doi.org/10.1088/1126-6708/2005/05/070	journal	May 2005
Living with spontaneously broken BRST symmetry. I. Physical states and cohomology Schaden, Martin; Zwanziger, Daniel Physical Review D, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevD.92.025001	journal	July 2015
Study of confinement in the adjoint SU(2)-Higgs model by means of the Fredenhagen and Marcu criterion Azcoiti, V.; Cruz, A.; Di Carlo, G. Physics Letters B, Vol. 200, Issue 4 https://doi.org/10.1016/0370-2693(88)90165-7	journal	January 1988
Impossibility of spontaneously breaking local symmetries Elitzur, S. Physical Review D, Vol. 12, Issue 12 https://doi.org/10.1103/PhysRevD.12.3978	journal	December 1975
Erratum: Propagation properties and condensate formation of the confined Yang-Mills field Stingl, M. Physical Review D, Vol. 36, Issue 2 https://doi.org/10.1103/PhysRevD.36.651	journal	July 1987
Nonperturbative BRS invariance and the Gribov problem Neuberger, Herbert Physics Letters B, Vol. 183, Issue 3-4 https://doi.org/10.1016/0370-2693(87)90974-9	journal	January 1987
Vanishing of zero-momentum lattice gluon propagator and color confinement Zwanziger, Daniel Nuclear Physics B, Vol. 364, Issue 1 https://doi.org/10.1016/0550-3213(91)90581-H	journal	October 1991
Connection between center vortices and instantons through gauge-field smoothing Trewartha, Daniel; Kamleh, Waseem; Leinweber, Derek Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074507	journal	October 2015
The confinement problem in lattice gauge theory Greensite, J. Progress in Particle and Nuclear Physics, Vol. 51, Issue 1 https://doi.org/10.1016/S0146-6410(03)90012-3	journal	January 2003
On the SU(2)-Higgs phase transition Campos, Is Nuclear Physics B - Proceedings Supplements, Vol. 63, Issue 1-3 https://doi.org/10.1016/s0920-5632(97)00869-4	journal	April 1998
Study of Confinement in the Adjoint Su(2)-Higgs Model by Means of the Fredenhagen and Marcu Criterion Azcoiti, V.; Cruz, A.; Carlo, G. Di INFN Open Access Repository https://doi.org/10.15161/oar.it/1448902391.77	text	January 1987
Confinement criterion for QCD with dynamical quarks Fredenhagen, Klaus; Marcu, Mihail Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-04792	text	January 1986
Connection between centre vortices and instantons through gauge-field smoothing Trewartha, Amalie; Kamleh, Waseem; Leinweber, Derek arXiv https://doi.org/10.48550/arxiv.1509.05518	text	January 2015
Coulomb Energy, Remnant Symmetry, and the Phases of Non-Abelian Gauge Theories Greensite, Jeff; Olejnik, Stefan; Zwanziger, Daniel arXiv https://doi.org/10.48550/arxiv.hep-lat/0401003	text	January 2004
Center Vortices and the Gribov Horizon Greensite, Jeff; Olejnik, Stefan; Zwanziger, Daniel arXiv https://doi.org/10.48550/arxiv.hep-lat/0407032	text	January 2004
Scaling behavior and positivity violation of the gluon propagator in full QCD Bowman, Patrick O.; Heller, Urs M.; Leinweber, Derek B. arXiv https://doi.org/10.48550/arxiv.hep-lat/0703022	text	January 2007
Observing Long Colour Flux Tubes in SU(2) Lattice Gauge Theory Bali, G. S.; Schilling, K.; Schlichter, C. arXiv https://doi.org/10.48550/arxiv.hep-lat/9409005	text	January 1994

Cited By (2)

What symmetry is actually broken in the Higgs phase of a gauge-Higgs theory? Greensite, Jeff; Matsuyama, Kazue arXiv https://doi.org/10.48550/arxiv.1805.00985	text	January 2018
On the distinction between color confinement, and confinement Greensite, Jeff; Matsuyama, Kazue arXiv https://doi.org/10.48550/arxiv.1811.01512	preprint	January 2018

Similar Records

String tension scaling in high-temperature confined SU(N) gauge theories

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields · OSTI ID:1541107

Meisinger, Peter N; Ogilvie, Michael C

The spectrum of an SU(3) gauge theory with a fundamental Higgs field

Journal Article · Mon Oct 15 00:00:00 EDT 2018 · Annals of Physics · OSTI ID:1541107

Maas, Axel; Törek, Pascal

Broken Symmetry

Multimedia · Thu Feb 24 00:00:00 EST 2011 · OSTI ID:1541107

Englert, Francois

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS

Title: Confinement criterion for gauge theories with matter fields

Citation Formats

References (42)

Cited By (2)

Similar Records

Related Subjects