High-temperature expansion of the one-loop effective action induced by scalar and Dirac particles

Kalinichenko, I. S.; Kazinski, P. O.

doi:10.1140/epjc/s10052-017-5450-0

Cited by 10 publications

(13 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An important message of the present work is that due to the spectral asymmetry of Dirac operator on 4D manifolds with boundaries one cannot use / D 2 alone to construct the full effective action. A similar conclusion (though in a different set-up) has been obtained in the recent work [23]. Existing computations of the parity anomaly from four dimensional theories deal with domain walls rather than with boundaries, see [6].…”

Section: Discussionsupporting

confidence: 75%

Parity anomaly in four dimensions

Kurkov

Vassilevich

2017

Phys. Rev. D

View full text Add to dashboard Cite

In an analogy to the odd-dimensional case we define the parity anomaly as the part of the one-loop effective action for fermions associated with spectral asymmetry of the Dirac operator. This quantity is computed directly on four-dimensional manifolds with boundary and related to the Chern-Simons current on the boundary. Despite a quite unusual Chern-Simons level obtained, the action is gauge invariant and passes all consistency checks.

show abstract

Section: Discussionsupporting

confidence: 75%

Parity anomaly in four dimensions

Kurkov

Vassilevich

2017

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…The singularities of the gamma function and its expansion in the vicinity of these singularities are well known. The singularities of the function M k (ν) and its expansion near them can also be found explicitly [69][70][71]73]. Let µ = µ + iµ on the contour C. The integral (50) converges for x > 0, provided…”

Section: Asymptoticsmentioning

confidence: 98%

“…In order to find the asymptotics of f mn (x) at large x, we shall employ the procedure expounded, for example, in [69][70][71]. It is convenient to consider the interference factor f m,m−k instead of f mn .…”

Section: Asymptoticsmentioning

confidence: 99%

Probability of radiation of twisted photons by cold relativistic particle bunches

2020

View full text Add to dashboard Cite

The probability to record a twisted photon produced by a cold relativistic particle bunch of charged particles is derived. The radiation of twisted photons by such particle bunches in stationary electromagnetic fields and in propagating electromagnetic waves is investigated. Several general properties of both incoherent and coherent contributions to the radiation probability of twisted photons are established. It is shown that the incoherent radiation by bunches of particles traversing normally an isotropic dispersive medium (the edge, transition, and Vavilov-Cherenkov radiations) and by bunches moving in a helical undulator does not depend on the azimuthal distribution of particles in the bunch and is the same as for round bunches. As for planar undulators, the incoherent radiation by particle bunches is the same as for the bunches symmetric under reflection with respect to the axis of a twisted photon detector. At high energies of recorded twisted photons, this property is universal and holds for the forward incoherent radiation by any cold relativistic particle bunch. The coherent radiation of twisted photons by such particle bunches obeys the property that we call the addition rule. This rule provides a simple means to describe the properties of coherent radiation of twisted photons. Furthermore, the strong addition rule is established for the coherent radiation by sufficiently long helical bunches. The use of this rule allows one to elaborate superradiant pure sources of twisted photons. The coherent radiation by helical bunches is considered for the edge, transition, and Vavilov-Cherenkov processes and for particles moving in undulators and plane laser waves with circular polarization. In these cases, the sum rules are deduced for the total probability to record a twisted photon and for the projection of the total angular momentum per photon. The explicit expressions for both incoherent and coherent interference factors are derived for several simple bunch profiles. *

show abstract

“…it is equal to the energy of the Dirac "sea". For the system of Dirac fermions confined to a domain with finite volume, the difference between the finite parts of the vacuum energies ( 76) and (79) in the absence of sources takes the form of a certain surface integral [62]. Notice that, in applying this formalism to condensed mater physics, the asymmetric definition (78) of the Hamiltonian is preferable as the Dirac sea of the valence electrons is actually present.…”

Section: Fermionsmentioning

confidence: 99%

Inclusive probability of particle creation on classical backgrounds

Kazinski

2020

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

The quantum theories of boson and fermion fields with quadratic nonstationary Hamiltoanians are rigorously constructed. The representation of the algebra of observables is given by the Hamiltonian diagonalization procedure. The sufficient conditions for the existence of unitary dynamics at finite times are formulated and the explicit formula for the matrix elements of the evolution operator is derived. In particular, this gives the well-defined expression for the one-loop effective action. The ultraviolet and infrared divergencies are regularized by the energy cutoff in the Hamiltonian of the theory. The possible infinite particle production is regulated by the corresponding counterdiabatic terms. The explicit formulas for the average number of particles $$N_D$$ND recorded by the detector and for the probability w(D) to record a particle by the detector are derived. It is proved that these quantities allow for no-regularization limit and, in this limit, $$N_D$$ND is finite and $$w(D)\in [0,1)$$w(D)∈[0,1). As an example, the theory of a neutral boson field with stationary quadratic part of the Hamiltonian and nonstationary source is considered. The average number of particles produced by this source from the vacuum during a finite time evolution and the inclusive probability to record a created particle are obtained. The infrared and ultraviolet asymptotics of the average density of created particles are derived. As a particular case, quantum electrodynamics with a classical current is considered. The ultraviolet and infrared asymptotics of the average number of photons are derived. The asymptotics of the average number of photons produced by the adiabatically driven current is found.

show abstract

High-temperature expansion of the one-loop effective action induced by scalar and Dirac particles

Cited by 10 publications

References 63 publications

Parity anomaly in four dimensions

Parity anomaly in four dimensions

Probability of radiation of twisted photons by cold relativistic particle bunches

Inclusive probability of particle creation on classical backgrounds

Contact Info

Product

Resources

About