Finite-density massless two-color QCD at the isospin Roberge-Weiss point and the 't Hooft anomaly

Furusawa, Takuya; Tanizaki, Yuya; Itou, Etsuko

doi:10.1103/physrevresearch.2.033253

Cited by 13 publications

(6 citation statements)

References 171 publications

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“…This turns out to be the same anomaly or global inconsistency with that of SU(N ) YM theory at θ = π [11,13] (see refs. [14,16,17,[46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62] on related studies). To see this, let us gauge Z where C is an auxiliary U(1) gauge field.…”

Section: 'T Hooft Anomaly At θ = π and Anomaly Matching Constraintmentioning

confidence: 99%

Topological aspects of 4D Abelian lattice gauge theories with the θ parameter

Honda

Tanizaki

2020

J. High Energ. Phys.

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We study a four-dimensional U(1) gauge theory with the θ angle, which was originally proposed by Cardy and Rabinovici. It is known that the model has the rich phase diagram thanks to the presence of both electrically and magnetically charged particles. We discuss the topological nature of the oblique confinement phase of the model at θ = π, and show how its appearance can be consistent with the anomaly constraint. We also construct the SL(2, ℤ) self-dual theory out of the Cardy-Rabinovici model by gauging a part of its one-form symmetry. This self-duality has a mixed ’t Hooft anomaly with gravity, and its implications on the phase diagram is uncovered. As the model shares the same global symmetry and ’t Hooft anomaly with those of SU(N) Yang-Mills theory, studying its topological aspects would provide us more hints to explore possible dynamics of non-Abelian gauge theories with nonzero θ angles.

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Section: 'T Hooft Anomaly At θ = π and Anomaly Matching Constraintmentioning

confidence: 99%

Topological aspects of 4D Abelian lattice gauge theories with the θ parameter

Honda

Tanizaki

2020

J. High Energ. Phys.

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“…QCD with nonzero isospin chemical potential µ I [57,58] and two-colour QCD (QC 2 D) [59-63] do not su↵er from the sign problem and are amenable to direct simulations at large density, and may hence provide benchmarks for other methods [64][65][66][67][68][69]. Both feature a superfluid phase for µ I,B > m ⇡ characterised by condensation of pions and scalar diquarks respectively.…”

Section: Large Densitymentioning

confidence: 99%

QCD at high temperature and density: selected highlights

Skullerud

2022

EPJ Web Conf.

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“…We then move on to the discussion of the T 2 compactification [22] (see also Refs. [21,[72][73][74]). In order to emphasize the role of the 't Hooft flux, we here reintroduce the 't Hooft twist n 34 as a variable in Z N .…”

Section: 'T Hooft Anomaly and Compactification Of Yang-mills Theorymentioning

confidence: 99%

Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications

Tanizaki,

Ünsal

2022

Preprint

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We construct an anomaly-preserving compactification of 4d gauge theories, including SU (N ) Yang-Mills theory, N = 1 supersymmetric Yang-Mills theory, and QCD, down to 2d by turning on 't Hooft flux through T 2 . It provides a new framework to analytically calculate nonperturbative properties such as confinement, chiral symmetry breaking, and multi-branch structure of vacua. We give the semiclassical description of these phenomena based on the center vortex and show that it enjoys the same anomaly matching condition with the original 4d gauge theory. We conjecture that the weakcoupling vacuum structure on small T 2 × R 2 is adiabatically connected to the strongcoupling regime on R 4 without any phase transitions. In QCD with fundamental quarks as well, we can turn on 't Hooft flux either by activating SU (N f ) V symmetry twist for N f = N flavors or by introducing a magnetic flux of baryon number U (1) B for arbitrary N f flavors. In both cases, the weak-coupling center-vortex theory gives the prediction consistent with chiral Lagrangian of 4d QCD.

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Finite-density massless two-color QCD at the isospin Roberge-Weiss point and the 't Hooft anomaly

Cited by 13 publications

References 171 publications

Topological aspects of 4D Abelian lattice gauge theories with the θ parameter

Topological aspects of 4D Abelian lattice gauge theories with the θ parameter

QCD at high temperature and density: selected highlights

Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications

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