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High-temperature domain walls of QCD with imaginary chemical potentials · Around

2019

High-temperature domain walls of QCD with imaginary chemical potentials

Nishimura, Hiromichi, Tanizaki, Yuya

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We study QCD with massless quarks on $\mathbb{R}^3\times S^1$ under symmetry-twisted boundary conditions with small compactification radius, i.e.

at high temperatures.
Under suitable boundary conditions, the theory acquires a part of the center symmetry and it is spontaneously broken at high temperatures.
We show that these vacua at high temperatures can be regarded as different symmetry-protected topological orders, and the domain walls between them support nontrivial massless gauge theories as a consequence of anomaly-inflow mechanism.

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K. Yonekura, “Anomaly matching in QCD thermal phase transition,” arXiv:1901.08188 [hep-th]
Original
1901
Earlier work this paper cites.
Y. Nambu and G. Jona-Lasinio, “Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1.,” Phys. Rev
1961
Earlier work this paper cites.
Y. Nambu and G. Jona-Lasinio, “Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II,” Phys. Rev
1961
Earlier work this paper cites.
K. G. Wilson, “Confinement of Quarks,” Phys. Rev
1974
Earlier work this paper cites.
M. K. Prasad and C. M. Sommerfield, “An Exact Classical Solution for the ’t Hooft Monopole and the Julia-Zee Dyon,” Phys. Rev. Lett
1975
Earlier work this paper cites.
E. B. Bogomolny, “Stability of Classical Solutions,” Sov. J. Nucl. Phys
1976
Earlier work this paper cites.
G. ’t Hooft, “A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories,” Nucl. Phys
1979
Earlier work this paper cites.
M. Creutz, “Monte Carlo Study of Quantized SU(2) Gauge Theory,” Phys. Rev
1980
Earlier work this paper cites.
G. ’t Hooft, “Topology of the Gauge Condition and New Confinement Phases in Nonabelian Gauge Theories,” Nucl. Phys
1981
Earlier work this paper cites.
Y. Frishman, A. Schwimmer, T. Banks, and S. Yankielowicz, “The Axial Anomaly and the Bound State Spectrum in Confining Theories,” Nucl. Phys
1981
Earlier work this paper cites.
D. J. Gross, R. D. Pisarski, and L. G. Yaffe, “QCD and Instantons at Finite Temperature,” Rev. Mod. Phys
1981
Earlier work this paper cites.
N. Weiss, “The Effective Potential for the Order Parameter of Gauge Theories at Finite Temperature,” Phys. Rev
1981
Earlier work this paper cites.
S. R. Coleman and B. Grossman, “’t Hooft’s Consistency Condition as a Consequence of Analyticity and Unitarity,” Nucl. Phys
1982
Earlier work this paper cites.
C. G. Callan, Jr. and J. A. Harvey, “Anomalies and Fermion Zero Modes on Strings and Domain Walls,” Nucl. Phys
1985
Earlier work this paper cites.
A. Roberge and N. Weiss, “Gauge Theories With Imaginary Chemical Potential and the Phases of QCD,” Nucl. Phys
1986
Earlier work this paper cites.
T. Bhattacharya, A. Gocksch, C. Korthals Altes, and R. D. Pisarski, “Z(N) interface tension in a hot SU(N) gauge theory,” Nucl. Phys
1992
Earlier work this paper cites.
H. Reinhardt, “Resolution of Gauss’ law in Yang-Mills theory by gauge invariant projection: Topology and magnetic monopoles,” Nucl. Phys
1997
Earlier work this paper cites.
M. G. Alford, A. Kapustin, and F. Wilczek, “Imaginary chemical potential and finite fermion density on the lattice,” Phys. Rev
1999
Earlier work this paper cites.
P. de Forcrand and O. Philipsen, “The QCD phase diagram for small densities from imaginary chemical potential,” Nucl. Phys
2002
Earlier work this paper cites.
P. de Forcrand and O. Philipsen, “The QCD phase diagram for three degenerate flavors and small baryon density,” Nucl. Phys
2003
Earlier work this paper cites.
M. D’Elia and M.-P. Lombardo, “Finite density QCD via imaginary chemical potential,” Phys. Rev
2003
Earlier work this paper cites.
M. D’Elia and M. P. Lombardo, “QCD thermodynamics from an imaginary mu(B): Results on the four flavor lattice model,” Phys. Rev
2004
Earlier work this paper cites.
M. Levin and X.-G. Wen, “Detecting topological order in a ground state wave function,” Phys. Rev. Lett
2006
Earlier work this paper cites.
A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett
2006
Earlier work this paper cites.

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