Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Anomalous 𝑈⁢(1)𝐴 couplings and the Columbia plot

Journal Article · · Physical Review D
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5]
  1. Jan Kochanowski Univ. (Poland); Goethe Univ. (Germany)
  2. HUN-REN Wigner Research Centre for Physics (Hungary); Univ. of Wroclaw (Poland)
  3. HUN-REN Wigner Research Centre for Physics (Hungary)
  4. Brookhaven National Laboratory (BNL), Upton, NY (United States)
  5. Justus-Liebig Univ., Giessen (Germany); Helmholtz Research Academy Hesse for FAIR (HFHF), Giessen (Germany)
+ Show Author Affiliations

When the quark masses are lighter than those in QCD, the standard lore is that a chiral transition of first order must emerge for three light flavors. Recently, however, numerical simulations on the lattice suggest that the chiral transition is of second order in the chiral limit. Using an extended linear sigma model in the mean field approximation, we study the relation between terms which break the anomalous, 𝑈⁢(1)𝐴 symmetry and the order of the chiral phase transition, especially how a chiral transition of second order can arise for three massless flavors. We note that in an (unphysical) region of the “Columbia” phase diagram, when the strange quark mass is light and negative, corresponding to topological angle 𝜃 =𝜋, the 𝐶⁢𝑃 symmetry is spontaneously broken.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0012704
OSTI ID:
2499821
Report Number(s):
BNL--228901-2025-JAAM
Journal Information:
Physical Review D, Journal Name: Physical Review D Journal Issue: 1 Vol. 111; ISSN 2470-0010; ISSN 2470-0029
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (62)

The QCD deconfinement transition for heavy quarks and all baryon chemical potentials journal January 2012
On the order of the QCD chiral phase transition for different numbers of quark flavours journal November 2021
Large N chiral dynamics journal September 1980
How instantons solve the U(1) problem journal September 1986
Theta vacuum effects on QCD phase diagram journal November 2011
Chiral crossover in QCD at zero and non-zero chemical potentials journal August 2019
The order of the quantum chromodynamics transition predicted by the standard model of particle physics journal October 2006
QCD-inspired determination of NJL model parameters journal January 2017
The renormalisation group and global G×G' theories about four dimensions journal December 1981
On the nature of the finite-temperature transition in QCD journal August 2003
Five-loop epsilon expansion forU(n)  U(m) models: finite-temperature phase transition in light QCD journal May 2004
Critical behavior of linear Φ 4 models with G × G ′ symmetry journal April 1981
QCD phase structure at finite temperature and density journal March 2020
Nature of the phase transition for finite temperature N f = 3 QCD with nonperturbatively O ( a ) improved Wilson fermions at N t = 12 journal March 2020
Multi-instanton contributions to anomalous quark interactions journal June 2020
One-loop constituent quark contributions to the vector and axial-vector meson curvature mass journal September 2021
Chiral phase transition in three-flavor QCD from lattice QCD journal February 2022
Backreaction of mesonic fluctuations on the axial anomaly at finite temperature journal May 2022
Neutron star properties with careful parametrization in the vector and axial-vector meson extended linear sigma model journal May 2022
Second-order chiral phase transition in three-flavor quantum chromodynamics? journal April 2022
Fate of the critical endpoint at large Nc journal December 2022
Is f2(1950) the tensor glueball? journal July 2023
What neutron stars tell about the hadron-quark phase transition: A Bayesian study journal August 2023
Sensitivity of finite size effects to the boundary conditions and the vacuum term journal October 2023
QCD phase transitions in the light quark chiral limit journal December 2023
Anomalous interactions between mesons with nonzero spin and glueballs journal April 2024
Order of the SU(Nf)×SU(Nf) chiral transition via the functional renormalization group journal July 2024
Computation of the quantum effects due to a four-dimensional pseudoparticle journal December 1976
Erratum: Computation of the quantum effects due to a four-dimensional pseudoparticle journal September 1978
First-order phase transition in the SU(3) gauge theory at finite temperature journal August 1982
Remarks on the chiral phase transition in chromodynamics journal January 1984
Some Features of Chiral Symmetry Breaking journal April 1971
Mapping the boundary of the first order finite temperature restoration of chiral symmetry in the ( m π − m K )-plane with a linear sigma model journal June 2005
Critical surface of the S U ( 3 ) L × S U ( 3 ) R chiral quark model at nonzero baryon density journal January 2007
Spontaneous C P violation in the strong interaction at θ = π journal September 2008
Three-flavor chiral phase structure in hot and dense QCD matter journal January 2009
Critical endpoint for deconfinement in matrix and other effective models journal June 2012
Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons journal January 2013
Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons journal March 2013
Fluctuations and the axial anomaly with three quark flavors journal March 2014
Is f 0 ( 1710 ) a glueball? journal December 2014
U ( 2 ) A × U ( 2 ) V -symmetric fixed point from the functional renormalization group journal December 2014
Bootstrapping phase transitions in QCD and frustrated spin systems journal January 2015
Three-flavor chiral effective model with four baryonic multiplets within the mirror assignment journal February 2016
Existence of the critical endpoint in the vector meson extended linear sigma model journal June 2016
Chiral phase structure of three flavor QCD at vanishing baryon number density journal April 2017
How the axial anomaly controls flavor mixing among mesons journal May 2018
Mass sensitivity of the three-flavor chiral phase transition journal April 2019
Necessary Condition for Emergent Symmetry from the Conformal Bootstrap journal September 2016
QCD Crossover at Finite Chemical Potential from Lattice Simulations journal July 2020
Conjectures about the Chiral Phase Transition in QCD from Anomalous Multi-Instanton Interactions journal June 2024
Symmetry Breaking through Bell-Jackiw Anomalies journal July 1976
On the existence of a phase transition for QCD with three light quarks journal November 1990
Higher topological charge and the QCD vacuum journal September 2020
Low-energy limit of the extended Linear Sigma Model journal January 2018
Excited scalar and pseudoscalar mesons in the extended linear sigma model journal July 2017
Influence of QED Corrections on the Orientation of Chiral Symmetry Breaking in the NJL Model journal January 2007
The Chiral Phase Transition of QCD text January 2015
CFTs with $\mathbf{U(m)\times U(n)}$ global symmetry in 3D and the chiral phase transition of QCD journal August 2023
Analytic and numerical bootstrap of CFTs with $O(m)\times O(n)$ global symmetry in 3D journal January 2020
An overview of the QCD phase diagram at finite $T$ and $\mu$ conference May 2022
Meson Vacuum Phenomenology in a Three-flavor Linear Sigma Model with (Axial-)Vector Mesons: Investigation of the U$(1)_A$ Anomaly Term journal January 2013

Similar Records

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CP violation
QCD phase transitions
anomalies
chiral symmetry
phase diagrams