Democratic Lagrangians for Nonlinear Electrodynamics

Avetisyan, Zhirayr; Evnin, Oleg; Mkrtchyan, Karapet

doi:10.1103/physrevlett.127.271601

Cited by 24 publications

(48 citation statements)

References 45 publications

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“…Our purpose in this article is to present a general formalism that is simple, economical and accommodates both democratic description of interacting p-forms in any number of dimensions, and chiral forms in those dimensions where they exist. This formalism builds upon the previous considerations reported in a series of recent works involving the present authors [87][88][89]. Of the broad variety of approaches pursued in the past literature, this formalism shows closest affinity to the Pasti-Sorokin-Tonin (PST) formulations [31,35,40].…”

Section: Introductionmentioning

confidence: 64%

“…We start with reviewing the considerations of [89] and the democratic Lagrangian representation of general nonlinear electrodynamics developed there. In this review, we will follow the original logic of [89] so as to make the underlying heuristics clearly visible to the reader.…”

Section: Nonlinear Electrodynamics In 4 Dimensionsmentioning

confidence: 99%

“…In the particular case of six spacetime dimensions, the self-interacting theory of a single chiral two-form is defined by a function of one variable (there is a single functionally independent invariant constructed from a selfdual threeform), and any theory of the very general form (1.2) can in fact be derived from a Lagrangian of the form (1.4) since (1.3) is automatically satisfied in this case due to the very restricted structure of Lorentz-covariant chiral form functions. Our exposition is organized as follows: We shall start by reviewing, in section 2, the considerations of [89], providing some pedagogical and technical details that had been omitted from the letter-format paper. We then explain, in section 3, how to generalize the interacting theories of [89] to a democratic formulation of interacting form fields of arbitrary rank in an arbitrary number of dimensions.…”

Section: Introductionmentioning

confidence: 99%

“…Our exposition is organized as follows: We shall start by reviewing, in section 2, the considerations of [89], providing some pedagogical and technical details that had been omitted from the letter-format paper. We then explain, in section 3, how to generalize the interacting theories of [89] to a democratic formulation of interacting form fields of arbitrary rank in an arbitrary number of dimensions. (This generalization has been briefly alluded to already in the conclusions of [89].)…”

Section: Introductionmentioning

confidence: 99%

“…We then explain, in section 3, how to generalize the interacting theories of [89] to a democratic formulation of interacting form fields of arbitrary rank in an arbitrary number of dimensions. (This generalization has been briefly alluded to already in the conclusions of [89].) In section 4, we specialize to the case of chiral 2k-forms in 4k + 2 dimensions, where we provide explicit details for 2-forms in 6 dimensions and 4-forms in 10 dimensions, the latter case known to be essentially inaccessible to the previously established approaches.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear (chiral) p-form electrodynamics

Avetisyan,

Evnin,

Mkrtchyan

2022

Preprint

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In our previous article Phys. Rev. Lett. 127 (2021) 271601, we announced a novel 'democratic' Lagrangian formulation of general nonlinear electrodynamics in four dimensions that features electric and magnetic potentials on equal footing. Here, we give an expanded and more detailed account of this new formalism, and then proceed to push it significantly further by building the corresponding Lagrangian theories of higher form field interactions in arbitrary dimensions. Special attention is given to interactions of chiral 2k-forms in 4k + 2 dimensions, with further details for 2-forms in 6 dimensions and 4-forms in 10 dimensions. We comment more broadly on the structure of covariant equations of motion for chiral fields, and on the place of our Lagrangian theories in this context. The Lagrangian theories we develop are simple and explicit, and cover a much broader class of interactions than all past attempts in the literature.

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Section: Introductionmentioning

confidence: 64%

Section: Nonlinear Electrodynamics In 4 Dimensionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear (chiral) p-form electrodynamics

Avetisyan,

Evnin,

Mkrtchyan

2022

Preprint

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Introductory Notes on Non‐linear Electrodynamics and its Applications

Sorokin

2022

Fortschritte der Physik

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In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action describing non-linear corrections to Maxwell's theory due to quantum electron-positron one-loop effects. Since then, these and a variety of other models of non-linear electrodynamics proposed in the course of decades have been extensively studied and used in a wide range of areas of theoretical physics including string theory, gravity, cosmology and condensed matter (CMT). In these notes I will overview general properties of non-linear electrodynamics and particular models which are distinguished by their symmetries and physical properties, such as a recently discovered unique non-linear modification of Maxwell's electrodynamics which is conformal and duality invariant. I will also sketch how non-linear electromagnetic effects may manifest themselves in physical phenomena (such as vacuum birefringence), in properties of gravitational objects (e.g. charged black holes) and in the evolution of the universe, and can be used, via gravity/CMT holography, for the description of properties of certain conducting and insulating materials.

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Interacting chiral form field theories and $$ T\overline{T} $$-like flows in six and higher dimensions

Ferko,

Kuzenko,

Lechner

et al. 2024

J. High Energ. Phys.

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In this paper we initiate the study of six-dimensional non-linear chiral two-form gauge theories as deformations of free chiral two-form gauge theories driven by stress-tensor $$ T\overline{T} $$ T T ¯ -like flows. To lay the background for this study, we elaborate on the relationship between different Lagrangian formulations of duality-invariant p-form theories and corresponding $$ T\overline{T} $$ T T ¯ -like flows in various dimensions. To this end we propose a new formulation which (i) is a generalization of the four-dimensional construction by Ivanov, Nurmagambetov and Zupnik (INZ) and (ii) turns into the PST formulation upon integrating out an auxiliary self-dual field. We elucidate space-time covariant properties of the PST formulation by clarifying and making use of its relation to the INZ-type formulation and to a so-called “clone” construction.

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Democratic Lagrangians for Nonlinear Electrodynamics

Cited by 24 publications

References 45 publications

Nonlinear (chiral) p-form electrodynamics

Nonlinear (chiral) p-form electrodynamics

Introductory Notes on Non‐linear Electrodynamics and its Applications

Interacting chiral form field theories and $$ T\overline{T} $$-like flows in six and higher dimensions

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