Deconfinement and 
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 breaking at 
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 in Yang-Mills theories and a novel phase for SU(2)

Chen, Shi; Fukushima, Kenji; Nishimura, Hiromichí; Tanizaki, Yuya

doi:10.1103/physrevd.102.034020

Cited by 16 publications

(26 citation statements)

References 105 publications

(277 reference statements)

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“…A more recent proposal [23] considers another symmetry enhancement mechanism related to partial deconfinement based on numerical data from lattice QCD simulation. Yet another interesting observation which might be related to partial deconfinement is the existence of a JHEP02(2021)004 deconfined and CP-broken phase in SU(2) Yang-Mills theory at θ = π [35]. A natural possibility would be that the deconfinement and CP-breaking temperatures considered in ref.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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Partial deconfinement at strong coupling on the lattice

Watanabe

Bergner²,

Bodendorfer

et al. 2021

J. High Energ. Phys.

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We provide evidence for partial deconfinement — the deconfinement of a SU(M) subgroup of the SU(N) gauge group — by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we observe that the M × M submatrices deconfine. This gives direct evidence for partial deconfinement at strong coupling. We discuss the applications to QCD and holography.

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Section: Conclusion and Discussionmentioning

confidence: 99%

“…A natural possibility would be that the deconfinement and CP-breaking temperatures considered in ref. [35] correspond to the Hagedorn and GWW temperature.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Partial deconfinement at strong coupling on the lattice

Watanabe

Bergner²,

Bodendorfer

et al. 2021

J. High Energ. Phys.

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“…What are the possible implications to the phase diagram of SU(N ) YM theory? In the 't Hooft large-N limit, there is a convincing argument showing that the anomaly at θ = π is matched by spontaneous breakdown of CP symmetry [21], and it is supported by the holographic model [26] and also by semiclassical computations of deformed or softly-broken supersymmetric YM theories [72][73][74][75][76][77]. When N is not so large, however, the dynamics at θ = π may be different.…”

Section: Jhep12(2020)154mentioning

confidence: 97%

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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“…The four nonrelativistic bound states with mass (149), comprising a chiral supermultiplet whose precise nature is described in the reference, are Z…”

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confidence: 99%

Notes on Confinement on R3 × S1: From Yang–Mills, Super-Yang–Mills, and QCD (adj) to QCD(F)

Poppitz

2022

Symmetry

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This is a pedagogical introduction to the physics of confinement on R3×S1, using SU(2) Yang–Mills with massive or massless adjoint fermions as the prime example; we also add fundamental flavours to conclude. The small-S1 limit is remarkable, allowing for controlled semiclassical determination of the nonperturbative physics in these, mostly non-supersymmetric, theories. We begin by reviewing the Polyakov confinement mechanism on R3. Moving on to R3×S1, we show how introducing adjoint fermions stabilizes center symmetry, leading to abelianization and semiclassical calculability. We explain how monopole–instantons and twisted monopole–instantons arise. We describe the role of various novel topological excitations in extending Polyakov’s confinement to the locally four-dimensional case, discuss the nature of the confining string, and the θ-angle dependence. We study the global symmetry realization and, when available, present evidence for the absence of phase transitions as a function of the S1 size. As our aim is not to cover all work on the subject, but to prepare the interested reader for its study, we also include brief descriptions of topics not covered in detail: the necessity for analytic continuation of path integrals, the study of more general theories, and the ’t Hooft anomalies involving higher-form symmetries.

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Deconfinement and CP breaking at θ=π in Yang-Mills theories and a novel phase for SU(2)

Cited by 16 publications

References 105 publications

Partial deconfinement at strong coupling on the lattice

Partial deconfinement at strong coupling on the lattice

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

Notes on Confinement on R3 × S1: From Yang–Mills, Super-Yang–Mills, and QCD (adj) to QCD(F)

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