Renormalised fermion vacuum expectation values on anti-de Sitter space–time

Ambruş, Victor E.; Winstanley, Elizabeth

doi:10.1016/j.physletb.2015.08.045

Cited by 21 publications

(56 citation statements)

References 24 publications

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“…This suggests that regular rigidly-rotating thermal states should exist on adS if the angular speed is sufficiently small that there is no SOL. Whether the same result is true for a quantum fermion field remains an open question, to which we plan to return in a future publication (we have recently studied the nonrotating vacuum for a quantum fermion field on adS [29]). …”

Section: Casimir Divergence Near the Boundarymentioning

confidence: 85%

Rotating fermions inside a cylindrical boundary

Ambruş¹,

Winstanley²

2016

Phys. Rev. D

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109

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We study a quantum fermion field inside a cylinder in Minkowski space-time. On the surface of the cylinder, the fermion field satisfies either spectral or MIT bag boundary conditions. We define rigidly-rotating quantum states in both cases, assuming that the radius of the cylinder is sufficiently small that the speed-of-light surface is excluded from the space-time. With this assumption, we calculate rigidly-rotating thermal expectation values of the fermion condensate, neutrino charge current and stress-energy tensor relative to the bounded vacuum state. These rigidly-rotating thermal expectation values are finite everywhere inside and on the surface of the cylinder and their detailed properties depend on the choice of boundary conditions. We also compute the Casimir divergence of the expectation values of these quantities in the bounded vacuum state relative to the unbounded Minkowski vacuum. We find that the rate of divergence of the Casimir expectation values depends on the conditions imposed on the boundary.

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Section: Casimir Divergence Near the Boundarymentioning

confidence: 85%

Rotating fermions inside a cylindrical boundary

Ambruş¹,

Winstanley²

2016

Phys. Rev. D

Self Cite

109

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“…In particular, (6.4) does not hold for the v.e.v.s of the FC and SET calculated in [14], regardless of the method of renormalization.…”

Section: Finite Temperature Feynman Green's Functionmentioning

confidence: 95%

“…In this section, we review the construction of the Feynman Green's function S F (x, x ′ ) for the global vacuum state of the Dirac field on adS space-time [12,14].…”

Section: Feynman Green's Function For the Global Maximally-symmetric mentioning

confidence: 99%

“…The v.e.v.s of the FC, CC and SET when the fermion field is in the global adS vacuum were calculated in [14]. In this section we compute the difference between the t.e.v.s at finite inverse temperature β and the v.e.v.s.…”

Section: Finite Temperature Feynman Green's Functionmentioning

confidence: 99%

“…In this section we compute the difference between the t.e.v.s at finite inverse temperature β and the v.e.v.s. Since the short-distance singularity structure of the Feynman Green's function is independent of the state of the quantum field (see, for example, [14]), these differences do not require renormalization and the relationship (6.4) between the FC and the trace of the SET will hold.…”

Section: Finite Temperature Feynman Green's Functionmentioning

confidence: 99%

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Thermal expectation values of fermions on anti-de Sitter space-time

Ambruş

Winstanley

2017

Class. Quantum Grav.

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Abstract. Making use of the symmetries of anti-de Sitter space-time, we derive an analytic expression for the bispinor of parallel transport, from which we construct in closed form the vacuum Feynman Green's function of the Dirac field on this background. Using the imaginary time anti-periodicity property of the thermal Feynman Green's function, we calculate the thermal expectation values of the fermion condensate and stress-energy tensor and highlight the effect of quantum corrections as compared to relativistic kinetic theory results.

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Exact Solutions in Quantum Field Theory Under Rotation

Ambruş

Winstanley²

2021

Strongly Interacting Matter Under Rotation

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We discuss the construction and properties of rigidly-rotating states for free scalar and fermion fields in quantum field theory. On unbounded Minkowski space-time, we explain why such states do not exist for scalars. For the Dirac field, we are able to construct rotating vacuum and thermal states, for which expectation values can be computed exactly in the massless case. We compare these quantum expectation values with the corresponding quantities derived in relativistic kinetic theory.

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Renormalised fermion vacuum expectation values on anti-de Sitter space–time

Cited by 21 publications

References 24 publications

Rotating fermions inside a cylindrical boundary

Rotating fermions inside a cylindrical boundary

Thermal expectation values of fermions on anti-de Sitter space-time

Exact Solutions in Quantum Field Theory Under Rotation

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