Does a nonzero tunneling probability imply particle production in time-independent classical electromagnetic backgrounds?

Sriramkumar, L.; Padmanabhan, Τ.

doi:10.1103/physrevd.54.7599

Cited by 12 publications

(27 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The instanton interpretation thus resolves the contradiction between the effective action and the canonical method raised in Ref. [49]. Our result also agrees with that by Dunne and Hall, who showed that the imaginary part of the effective action vanishes for the static magnetic field considered above and therefore neither bosons nor fermions are produced in pairs [50,51].…”

Section: Magnetic Fieldssupporting

confidence: 91%

“…As the nonzero transmission probability through potential wells is the result without any finite instanton, the instanton interpretation excludes the possibility of pair-production by a static localized magnetic field in the canonical method raised in Ref. [49]. Therefore we conclude that any static magnetic field does not lead to pair-production and the canonical method equipped with the instanton interpretation is compatible with the effective action method [17,49,50].…”

Section: Discussionsupporting

confidence: 55%

“…This issue has been raised and discussed to interpret the reflection probability as the pair-production by static localized magnetic fields in Ref. [49]. In this section we resolve this issue from the view point of the instanton interpretation.…”

Section: Magnetic Fieldsmentioning

confidence: 82%

See 2 more Smart Citations

Schwinger pair production via instantons in strong electric fields

2002

View full text Add to dashboard Cite

In the space-dependent gauge, each mode of the Klein-Gordon equation in a strong electric field takes the form of a time-independent Schrödinger equation with a potential barrier. We propose that the single-and multi-instantons of quantum tunnelling may be related with the single-and multi-pair production of bosons and the relative probability for the no-pair production is determined by the total tunnelling probability via instantons. In the case of a static uniform electric field, the instanton interpretation recovers exactly the well-known pair production rate for bosons and when the Pauli blocking is taken into account, it gives the correct fermion production rate. The instanton is used to calculate the pair-production rate even in an inhomogeneous electric field. Furthermore, the instanton interpretation confirms the fact that bosons and fermions cannot be produced by a static magnetic field only.

show abstract

Section: Magnetic Fieldssupporting

confidence: 91%

Section: Discussionsupporting

confidence: 55%

See 1 more Smart Citation

Schwinger pair production via instantons in strong electric fields

2002

View full text Add to dashboard Cite

show abstract

“…As an example, an elegant treatment of the axial anomaly in an external electromagnetic background, which appeals to a similar physical mechanism as above, is given in [15,32]. Fluctuations in expectation values can be calculated using (17). Consider fluctuations of some quantityÂ(t 1 ) in the "evolved vacuum."…”

Section: Expectation Valuesmentioning

confidence: 99%

“…We also show how our particle definition can be expressed in more conventional terms by discussing its relation to the method of Hamiltonian diagonalisation. Our definition consistently combines the conventional "Bogoliubov coefficient method" with the "tunnelling method," resolving the gauge inconsistencies [17] that trouble each of these methods. A retrospective overview is presented in Section 6.…”

Section: Introductionmentioning

confidence: 99%

State-Space-Based Approach to Quantum Field Theory for Arbitrary Observers in Electromagnetic Backgrounds

Dolby¹,

Gull²

2001

Annals of Physics

View full text Add to dashboard Cite

A reformulation of fermionic QFT in electromagnetic backgrounds is presented which uses methods analogous to those of conventional multiparticle quantum mechanics. Emphasis is placed on the (Schrödinger picture) states of the system, described in terms of Slater determinants of Dirac states, and not on the field operatorψ(x) (which is superfluous in this approach). The vacuum state "at time τ " is defined as the Slater determinant of a basis for the span of the negative spectrum of the "first quantized" HamiltonianĤ (τ ), thus providing a concrete realisation of the Dirac Sea. The general S-matrix element of the theory is derived in terms of time-dependent Bogoliubov coefficients, demonstrating that the Smatrix follows directly from the definition of inner product between Slater determinants. The process of "Hermitian extension," inherited directly from conventional multiparticle quantum mechanics, allows second quantized operators to be defined without appealing to a complete set of orthonormal modes and provides an extremely straightforward derivation of the general expectation value of the theory. The concept of "radar time," advocated by Bondi in his work on k-calculus, is used to generalise the particle interpretation to an arbitrarily moving observer. A definition of particle results, which depends only on the observer's motion and the background present, not on any choice of coordinates or gauge, or of the particle detector. We relate this approach to conventional methods by comparing and contrasting various derivations. Our particle definition can be viewed as a generalisation to arbitrary observers of the approach of G. W. Gibbons (1975, Comm. Math. Phys. 44, 245). C 2001 Academic Press

show abstract

State-Space Based Approach to Particle Creation in Spatially Uniform Electric Fields

Dolby¹,

Gull²

2002

Annals of Physics

View full text Add to dashboard Cite

Our formalism, described recently in (C. E. Dolby and S. F. Gull, Ann. Phys. 293 (2001), 189-214.) is applied to the study of particle creation in spatially uniform electric fields, concentrating on the cases of a time-invariant electric field and a so-called adiabatic electric field. Several problems are resolved by incorporating the Bogoliubov coefficient approach and the tunnelling approach into a single consistent, gauge invariant formulation. The value of a time-dependent particle interpretation is demonstrated by presenting a coherent account of the time-development of the particle creation process, in which the particles are created with small momentum (in the frame of the electric field) and are then accelerated by the electric field to make up the bulge of created particles predicted by asymptotic calculations [2,3]. An initial state comprising one particle is also considered, and its evolution is described as being the sum of two contributions: the sea of current produced by the evolved vacuum and the extra current arising from the initial particle state. C 2002 Elsevier Science (USA)

show abstract

Does a nonzero tunneling probability imply particle production in time-independent classical electromagnetic backgrounds?

Cited by 12 publications

References 23 publications

Schwinger pair production via instantons in strong electric fields

Schwinger pair production via instantons in strong electric fields

State-Space-Based Approach to Quantum Field Theory for Arbitrary Observers in Electromagnetic Backgrounds

State-Space Based Approach to Particle Creation in Spatially Uniform Electric Fields

Contact Info

Product

Resources

About