Interface junctions in QCD${}_4$

Gorantla, Pranay; Lam, Ho Tat

doi:10.21468/scipostphys.10.4.085

Cited by 3 publications

(5 citation statements)

References 40 publications

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“…We will start from the regular WZ term (2.1). This computation also appeared in [30]. We consider the DW configuration…”

Section: A Some Computationsmentioning

confidence: 95%

Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term

Karasik

2021

SciPost Phys.

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We further explore a recent proposal that the vector mesons in QCD have a special role as Chern-Simons fields on various QCD objects such as domain walls and the one flavored baryons. We compute contributions to domain wall theories and to the baryon current coming from a generalized Wess-Zumino term including vector mesons. The conditions that lead to the expected Chern-Simons terms and the correct spectrum of baryons, coincide with the conditions for vector meson dominance. This observation provides a theoretical explanation to the phenomenological principle of vector dominance, as well as an experimental evidence for the identification of vector mesons as the Chern-Simons fields. By deriving the Chern-Simons theories directly from an action, we obtain new results about QCD domain walls. One conclusion is the existence of a first order phase transition between domain walls as a function of the quarks' masses. We also discuss applications of our results to Seiberg duality between gluons and vector mesons and provide new evidence supporting the duality.

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“…We will start from the regular WZ term (2.1). This computation also appeared in [30]. We consider the DW configuration…”

Section: A Some Computationsmentioning

confidence: 95%

Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term

Karasik

2021

SciPost Phys.

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“…See also [7,54,58,64] for other studies of parameterized invertible theories in the condensed matter physics literature. Fermions with modulated mass parameters were also studied in [24]. On the phenomenological side, integrating out fermions coupled to various gauge fields as well as Higgs fields was recently discussed in [1,13,50].…”

Section: Jhep09(2022)022mentioning

confidence: 99%

“…We assume there is a collar neighborhood near the boundary Y of W , and w ∈ (− , 0] will denote the coordinate transverse to the boundary in the collar neighborhood, where the boundary is at w = 0 and > 0. w is to be interpreted as the Euclidean time direction near the boundary. 24 For the APS index theorem to be applicable, we need a Z 2 grading in the space of spinors, which anticommutes with the operator Q. As will be explained in more detail, the operator Q of our interest takes the following form:…”

Section: B Aps Index Theorem and Superconnectionmentioning

confidence: 99%

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Higher Berry phase of fermions and index theorem

Choi

Ohmori

2022

J. High Energ. Phys.

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When a quantum field theory is trivially gapped, its infrared fixed point is an invertible field theory. The partition function of the invertible field theory records the response to various background fields in the long-distance limit. The set of background fields can include spacetime-dependent coupling constants, in which case we call the corresponding invertible theory a parameterized invertible field theory. We study such parameterized invertible field theories arising from free Dirac fermions with spacetime-dependent mass parameters using the Atiyah-Patodi-Singer index theorem for superconnections. In particular, the response to an infinitesimal modulation of the mass is encoded into a higher analog of the Berry curvature, for which we provide a general formula. When the Berry curvature vanishes, the invertible theory can still be nontrivial if there is a remaining torsional Berry phase, for which we list some computable examples.

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“…See also [TK10, Shi21, WQB + 21, AWH22] for other studies of parameterized invertible theories in the condensed matter physics literature. Fermions with modulated mass parameters were also studied in [GL20]. On the phenomenological side, integrating out fermions coupled to various gauge fields as well as Higgs fields was recently discussed in [EQV + 20, AH20, QSV21].…”

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confidence: 99%

Higher Berry Phase of Fermions and Index Theorem

Choi,

Ohmori

2022

Preprint

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When a quantum field theory is trivially gapped, its infrared fixed point is an invertible field theory. The partition function of the invertible field theory records the response to various background fields in the long-distance limit. The set of background fields can include spacetimedependent coupling constants, in which case we call the corresponding invertible theory a parameterized invertible field theory. We study such parameterized invertible field theories arising from free Dirac fermions with spacetime-dependent mass parameters using the Atiyah-Patodi-Singer index theorem for superconnections. In particular, the response to an infinitesimal modulation of the mass is encoded into a higher analog of the Berry curvature, for which we provide a general formula. When the Berry curvature vanishes, the invertible theory can still be nontrivial if there is a remaining torsional Berry phase, for which we list some computable examples.

show abstract

Interface junctions in QCD${}_4$

Cited by 3 publications

References 40 publications

Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term

Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term

Higher Berry phase of fermions and index theorem

Higher Berry Phase of Fermions and Index Theorem

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