Anomaly inflow on QCD axial domain-walls and vortices

Fukushima, Kenji; Imaki, Shota

doi:10.1103/physrevd.97.114003

Cited by 8 publications

(11 citation statements)

References 73 publications

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“…This expression clarifies that the nonzero torsion arises from the singular or multi-valued coordinate. The non-commutative derivatives also appear in the study of topological vortices [13,14]. The torsion couples to matter fields through the connection and the vierbein.…”

Section: Torsion and Dislocationmentioning

confidence: 99%

Lattice field theory with torsion

Imaki

Yamamoto

2019

Phys. Rev. D

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Inspired by the duality between gravity and defects in crystals, we study lattice field theory with torsion. The torsion is realized by a line defect of a lattice, namely a dislocation. As the first application, we perform the numerical computation for vector and axial currents induced by a screw dislocation. This current generation is called the chiral torsional effect. We also derive the analytical formula for the chiral torsional effect in the continuum limit.

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Section: Torsion and Dislocationmentioning

confidence: 99%

Lattice field theory with torsion

Imaki

Yamamoto

2019

Phys. Rev. D

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“…This state is a remarkable manifestation of the chiral anomaly, and requires subjecting quark matter to a magnetic field or to global rotation [10]; see also Ref. [11] for closely related recent work.…”

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confidence: 99%

Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem

2019

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We demonstrate the existence of an anomaly-induced inhomogeneous phase in a class of vector-like gauge theories without sign problem, thus disproving the long-standing conjecture that the absence of sign problem precludes spontaneous breaking of translational invariance. The presence of the phase in the two-color modification of quantum chromodynamics can be tested by an independent nonperturbative evaluation of the neutral pion decay constant as a function of external magnetic field. Our results provide a benchmark for future lattice studies of inhomogeneous phases in dense quark matter.

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“…Eq. ( 27) is structurally the same as the term obtained from effective approach (16). So in gravitoelectromagnetic formalism the radial flow is Hall type energy current.…”

Section: Rotating Framementioning

confidence: 95%

“…In this section we give the microscopic picture based on zero modes. We follow [22,27] with minor differences and the same circular ring geometry as [16]. The fermion zero modes on vortex string can be used to give another interpretation of the phenomena occur in domain-wall and vortex system.…”

Section: Microscopic Argumentmentioning

confidence: 99%

“…The microscopic argument complements the effective dense matter description. Also the anomaly induced currents for domain walls bounded by vortices under magnetic field and interplay between them as a manifestation of Callan-Harvey mechanism was investigated in [16]. Many of the above considerations for domain walls and vortices in magnetic field can be applied to dense quark matter under rotation, as will be done here.…”

Section: Introductionmentioning

confidence: 99%

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Rotating Dense Quark Matter and Anomaly Inflow

Dehghani

2018

Preprint

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The effective theory of rotating pion superfluid in the presence of domain-walls and vortices is considered. We study the anomaly induced effects and the interplay between domain-wall and superfluid vortex under rotation. The effective theory predicts an anomaly inflow for nonuniform rotation. The microscopic picture which consists of fermionic zero modes propagating along the vortices, will be used to justify the chiral effective theory results and explaining other phenomena such as the cross-correlation between rotation and magnetic field. Then using gravitoelectromagnetic formalism the radial energy flow is obtained from another point of view. Finally we consider the (1 + 1)-dimensional gravitational anomaly and the resulting thermal current flow on the domain-wall.

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Anomaly inflow on QCD axial domain-walls and vortices

Cited by 8 publications

References 73 publications

Lattice field theory with torsion

Lattice field theory with torsion

Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem

Rotating Dense Quark Matter and Anomaly Inflow

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