Self-interaction in classical gauge theories and gravitation

Kosyakov, B. P.

doi:10.1016/j.physrep.2019.03.002

Cited by 14 publications

(12 citation statements)

References 150 publications

(265 reference statements)

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“…The second gives a non-zero flux of the field energy-momentum (Pointing vector) through the distant sphere, and thus represents radiation. To argue that this is radiation indeed, Rohrlich [44,45] and Teitelboim [46] (see also [22,34,35,47]), computed the most long-range part of the on shell energy-momentum tensor, showing that it exhibits special properties, meaning that the corresponding part of the field energy-momentum propagates at the speed of light. Similar decomposition and reasoning holds for the gradient of the retarded scalar field of the scalar charge.…”

Section: Retarded Field In the Wave Zonementioning

confidence: 99%

“…This is why in the most of the existing literature only the even-dimensional radiation problems were considered [17,[22][23][24][25][26] . The case of odd dimensions was discussed mainly in the context of the radiation reaction problem [27][28][29][30][31][32][33], see also the reviews [34,35]. Meanwhile, the radiation reaction in dimensions other than four, creates additional problems.…”

Section: Introductionmentioning

confidence: 99%

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Synchrotron radiation in odd dimensions

Gal'Tsov

Khlopunov

2020

Phys. Rev. D

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In odd space-time dimensions, the retarded solution of the massless wave equation has support not only on the light cone, but also inside it. At the same time, a free massless field should propagate at the speed of light. The apparent contradiction of these two features is resolved by the fact that the emitted part of the field in the wave zone depends on the history of motion up to the retarded moment of proper time. It is shown that in the case of circular motion with ultrarelativistic velocity, the main contribution to the radiation amplitude is made by a small interval of proper time preceding the retarded time, and thus the tail term is effectively localized. We obtain a tentative formula for scalar synchrotron radiation in D dimensions: P = g 2 (ω 0 γ 2 / √ 3) D−2 , which is explicitly verified in D = 3, 4, 5.

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Section: Retarded Field In the Wave Zonementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Synchrotron radiation in odd dimensions

Gal'Tsov

Khlopunov

2020

Phys. Rev. D

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“…All the additional notation are defined in order of detailed derivation (32). However, the results deserve a discussion.…”

Section: Grand Canonical Partition Function -Like 0-metricmentioning

confidence: 99%

“…In this paper, we consider two types of a nonlocal QFT of a one-component scalar field in D-dimensional Euclidean spacetime: polynomial and nonpolynomial [20][21][22][23][24][25][26][27][28][29][30][31][32]. A scalar field theory underlies multiple physical models: Higgs Scalar Particles, Theory of Critical Phenomena (note an interesting book [33]), Quantum Theory of Magnetism, Plasma Physics (note an interesting review [34]), Theory of Developed Turbulence, Nuclear Physics (note an interesting book [35] and some interesting papers [36,37]), etc.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Scalar Quantum Field Theory—Functional Integration, Basis Functions Representation and Strong Coupling Expansion

Bernard¹,

Guskov

Иванов

et al. 2019

Particles

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Nonlocal quantum field theory (QFT) of one-component scalar field ϕ in D-dimensional Euclidean spacetime is considered. The generating functional (GF) of complete Green functions Z as a functional of external source j, coupling constant g, and spatial measure dµ is studied. An expression for GF Z in terms of the abstract integral over the primary field ϕ is given. An expression for GF Z in terms of integrals over the primary field and separable Hilbert space (HS) is obtained by means of a separable expansion of the free theory inverse propagatorL over the separable HS basis. The classification of functional integration measures D [ϕ] is formulated, according to which trivial and two nontrivial versions of GF Z are obtained. Nontrivial versions of GF Z are expressed in terms of 1-norm and 0-norm, respectively. In the 1-norm case in terms of the original symbol for the product integral, the definition for the functional integration measure D [ϕ] over the primary field is suggested. In the 0-norm case, the definition and the meaning of 0-norm are given in terms of the replica-functional Taylor series. The definition of the 0-norm generator Ψ is suggested. Simple cases of sharp and smooth generators are considered. An alternative derivation of GF Z in terms of 0-norm is also given. All these definitions allow to calculate corresponding functional integrals over ϕ in quadratures. Expressions for GF Z in terms of integrals over the separable HS, aka the basis functions representation, with new integrands are obtained. For polynomial theories ϕ 2n , n = 2, 3, 4, . . . , and for the nonpolynomial theory sinh 4 ϕ, integrals over the separable HS in terms of a power series over the inverse coupling constant 1/ √ g for both norms (1-norm and 0-norm) are calculated. Thus, the strong coupling expansion in all theories considered is given. "Phase transitions" and critical values of model parameters are found numerically. A generalization of the theory to the case of the uncountable integral over HS is formulated: GF Z for an arbitrary QFT and the strong coupling expansion for the theory ϕ 4 are derived. Finally a comparison of two GFs Z, one on the continuous lattice of functions and one obtained using the Parseval-Plancherel identity, is given.

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“…2 For previous related constructions see [11,12]. 3 For similar configurations in non-abelian Yang Mills, see [15].…”

Section: Non-antipodal Solutionsmentioning

confidence: 99%

Generalized asymptotics for gauge fields

Giddings

2019

J. High Energ. Phys.

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An interesting question is to characterize the general class of allowed boundary conditions for gauge theories, including gravity, at spatial and null infinity. This has played a role in discussions of soft charges, where antipodal symmetry has typically been assumed. However, the existence of electric and gravitational line operators, arising from gauge-invariant dressed observables, for example associated to axial or Fefferman-Graham like gauges, indicates the existence of non-antipodally symmetric initial data. This note studies aspects of the solutions corresponding to such non-symmetric initial data. The explicit evolution can be found, via a Green function, and bounds can be given on the asymptotic behavior of such solutions, evading arguments for singular behavior. Likewise, objections to such solutions based on infinite symplectic form are also avoided, although these solutions may be superselected. Soft charge conservation laws, and their modification, are briefly examined for such solutions. This discussion strengthens (though is not necessary for) arguments that soft charges characterize gauge field degrees of freedom, but not necessarily the degrees of freedom associated to the matter sourcing the field.

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Self-interaction in classical gauge theories and gravitation

Cited by 14 publications

References 150 publications

Synchrotron radiation in odd dimensions

Synchrotron radiation in odd dimensions

Nonlocal Scalar Quantum Field Theory—Functional Integration, Basis Functions Representation and Strong Coupling Expansion

Generalized asymptotics for gauge fields

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