Massive quantum fields in a conical background

Abstract

Representations of the Klein-Gordon and Dirac propagators are determined in a $N$ dimensional conical background for massive fields twisted by an arbitrary angle $2\pi \sigma$. The Dirac propagator is shown to be obtained from the Klein-Gordon propagator twisted by angles $2\pi \sigma \pm \mathcal{D}/2$ where $\mathcal{D}$ is the cone deficit angle. Vacuum expectation values are determined by a point-splitting method in the proper time representation of the propagators. Analogies with the Aharonov-Bohm effect are pointed out throughout the paper and a conjecture on an extension to fields of arbitrary spin is given.

Propagator (11) is rewritten in a more convenient form and the one before that is amended. A more concise expression is given for the energy density of a twisted spinor. The references contain minor corrections

References in corpus (3)

• Quantum effects near a point mass in 2+1 dimensional gravity
• Quantum aspects of self-interacting fields around cosmic strings
• Functional determinants on regions of the plane and sphere

Cited by in corpus (45)

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• Flat space physics from AdS/CFT
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• Fluctuations in the current and energy densities around a magnetic flux carrying cosmic string
• Induced vacuum bosonic current by magnetic flux in a higher dimensional compactified cosmic string spacetime
• Euclidean Approach to the Entropy for a Scalar Field in Rindler-like Space-Times
• Fermionic current induced by magnetic flux in compactified cosmic string spacetime
• Massive scalar field near a cosmic string
• Topological Casimir effect in compactified cosmic string spacetime
• Fermionic vacuum polarization in compactified cosmic string spacetime
• Induced fermionic current densities by magnetic flux in higher dimensional cosmic string spacetime
• Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time
• Vacuum polarization by a flat boundary in cosmic string spacetime
• Vacuum polarization induced by a cosmic string in anti-de Sitter spacetime
• Fermionic Casimir densities in a conical space with a circular boundary and magnetic flux
• zeta-function regularization and one-loop renormalization of field fluctuations in curved space-times
• Vacuum polarization in high-dimensional AdS spacetime in the presence of a cosmic string and compactified extra dimension
• Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime
• Fermionic vacuum polarization by a cosmic string in de Sitter spacetime
• Light-Cone Fluctuations in the Cosmic String Spacetime
• Induced fermionic currents in de Sitter spacetime in the presence of a compactified cosmic string
• Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
• Aspects of classical and quantum motion on a flux cone
• Varying the Unruh Temperature in Integrable Quantum Field Theories
• Vacuum expectation value of the energy-momentum tensor in a higher dimensional compactified cosmic string spacetime
• Fermionic vacuum polarization by a magnetic tube in the cosmic string spacetime
• Renormalized scalar propagator around a dispiration
• Induced vacuum energy-momentum tensor in the background of a cosmic string
• Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime
• Induced Fermionic vacuum polarization in dS spacetime with a compactified cosmic string
• Vacuum expectation values in non-trivial background space from three types of UV improved Green's functions
• A relationship between scalar Green functions on hyperbolic and Euclidean Rindler spaces
• Discrete heat kernel, UV modified Green's function, and higher derivative theories
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• Vacuum polarization in a cosmic string spacetime induced by flat boundary
• Thermal fluctuations of a quantized massive scalar field in Rindler background
• Induced vacuum bosonic current in a compactified cosmic string spacetime
• Wightman functions in de Sitter and anti-de Sitter spacetimes in the presence of cosmic string
• Vacuum effects induced by a plate in de Sitter spacetime in the presence of a cosmic string
• Flat Holography & Holographic Renormalization: Scalar Field
• Polarization of the vacuum of quantized spinor field by a topological defect in two-dimensional space
• Note on the point-splitting procedure to evaluate vacuum fluctuation in certain cylindrically symmetric backgrounds
• Quantum fluctuation of stress tensor in a higher-derivative scalar field theory around a cosmic string
• Fermionic vacuum polarization induced by a non-Abelian vortex