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Title: Possible new phase of thermal QCD

Abstract

Using lattice simulations, we show that there is a phase of thermal QCD, where the spectral density ρ(λ) of the Dirac operator changes as 1/λ for infrared eigenvalues λ < T. This behavior persists over the entire low energy band we can resolve accurately, over 3 orders of magnitude on our largest volumes. We propose that in this “IR phase,” the well-known noninteracting scale invariance at very short distances (UV, λ → ∞, asymptotic freedom), coexists with a very different interacting type of scale invariance at long distances (IR, λ < T). Such dynamics may be responsible for the unusual fluidity properties of the medium observed at RHIC and LHC. We point out its connection to the physics of the Banks-Zaks fixed point, leading to the possibility of massless glueballs in the fluid. Our results lead to the classification of thermal QCD phases in terms of IR scale invariance. The ensuing picture naturally subsumes the standard chiral crossover feature at “Tc ” ≈ 155 MeV. Its crucial new aspect is the existence of temperature TIR (200 MeV < TIR < 250 MeV) marking the onset of the IR phase and possibly a true phase transition.

Authors:
;
Publication Date:
Research Org.:
George Washington Univ., Washington, DC (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1575305
Alternate Identifier(s):
OSTI ID: 1800827
Grant/Contract Number:  
FG02-95ER40907; PHY-1151648
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats

Alexandru, Andrei, and Horváth, Ivan. Possible new phase of thermal QCD. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.094507.
Alexandru, Andrei, & Horváth, Ivan. Possible new phase of thermal QCD. United States. https://doi.org/10.1103/PhysRevD.100.094507
Alexandru, Andrei, and Horváth, Ivan. Fri . "Possible new phase of thermal QCD". United States. https://doi.org/10.1103/PhysRevD.100.094507.
@article{osti_1575305,
title = {Possible new phase of thermal QCD},
author = {Alexandru, Andrei and Horváth, Ivan},
abstractNote = {Using lattice simulations, we show that there is a phase of thermal QCD, where the spectral density ρ(λ) of the Dirac operator changes as 1/λ for infrared eigenvalues λ < T. This behavior persists over the entire low energy band we can resolve accurately, over 3 orders of magnitude on our largest volumes. We propose that in this “IR phase,” the well-known noninteracting scale invariance at very short distances (UV, λ → ∞, asymptotic freedom), coexists with a very different interacting type of scale invariance at long distances (IR, λ < T). Such dynamics may be responsible for the unusual fluidity properties of the medium observed at RHIC and LHC. We point out its connection to the physics of the Banks-Zaks fixed point, leading to the possibility of massless glueballs in the fluid. Our results lead to the classification of thermal QCD phases in terms of IR scale invariance. The ensuing picture naturally subsumes the standard chiral crossover feature at “Tc ” ≈ 155 MeV. Its crucial new aspect is the existence of temperature TIR (200 MeV < TIR < 250 MeV) marking the onset of the IR phase and possibly a true phase transition.},
doi = {10.1103/PhysRevD.100.094507},
journal = {Physical Review D},
number = 9,
volume = 100,
place = {United States},
year = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.100.094507

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Cited by: 3 works
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Works referenced in this record:

Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
journal, October 1996

  • Lehoucq, R. B.; Sorensen, D. C.
  • SIAM Journal on Matrix Analysis and Applications, Vol. 17, Issue 4
  • DOI: 10.1137/S0895479895281484

First Results from Pb+Pb Collisions at the LHC
journal, November 2012


Spontaneous chiral symmetry breaking as condensation of dynamical chirality
journal, May 2013


Chiral condensate in the deconfined phase of quenched gauge theories
journal, March 2000


Quark–gluon plasma and color glass condensate at RHIC? The perspective from the BRAHMS experiment
journal, August 2005


Scale-dependent mass anomalous dimension from Dirac eigenmodes
journal, July 2013

  • Cheng, Anqi; Hasenfratz, Anna; Petropoulos, Gregory
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)061

Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
journal, January 1992

  • Sorensen, D. C.
  • SIAM Journal on Matrix Analysis and Applications, Vol. 13, Issue 1
  • DOI: 10.1137/0613025

Critical behavior at finite-temperature confinement transitions
journal, December 1982


Shear Viscosity of Strongly Coupled N = 4 Supersymmetric Yang-Mills Plasma
journal, August 2001


The PHOBOS perspective on discoveries at RHIC
journal, August 2005


Localization transition in SU(3) gauge theory
journal, January 2018


Universality and scaling behavior of RG gauge actions
journal, April 2004


Ultraviolet Behavior of Non-Abelian Gauge Theories
journal, June 1973


Reliable Perturbative Results for Strong Interactions?
journal, June 1973


From chiral random matrix theory to chiral perturbation theory
journal, February 1999


Symmetries of spatial meson correlators in high temperature QCD
journal, July 2019


Equation of state in ( 2 + 1 )-flavor QCD
journal, November 2014


On the phase structure of vector-like gauge theories with massless fermions
journal, March 1982


Exactly massless quarks on the lattice
journal, January 1998


Heavy Ion Collisions: The Big Picture and the Big Questions
journal, October 2018


All unitary ray representations of the conformal group SU(2,2) with positive energy
journal, February 1977

  • Mack, G.
  • Communications in Mathematical Physics, Vol. 55, Issue 1
  • DOI: 10.1007/BF01613145

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
  • DOI: 10.1007/JHEP09(2010)073

Broken valence chiral symmetry and chiral polarization of Dirac spectrum in Nf=12 QCD at small quark mass
conference, January 2016

  • Alexandru, Andrei; Horváth, Ivan
  • XITH CONFERENCE ON QUARK CONFINEMENT AND HADRON SPECTRUM, AIP Conference Proceedings
  • DOI: 10.1063/1.4938614

Chiral symmetry breaking and chiral polarization: Tests for finite temperature and many flavors
journal, February 2015


A precise determination of the ψ ¯ ψ anomalous dimension in conformal gauge theories
journal, July 2012


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


Phases of S U ( 3 ) gauge theories with fundamental quarks via Dirac spectral density
journal, August 2015


The order of the quantum chromodynamics transition predicted by the standard model of particle physics
journal, October 2006


Evidence of effective axial U ( 1 ) symmetry restoration at high temperature QCD
journal, August 2017