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We develop a general approach to constructing a deformation that describes the mapping of any dynamical system with irreducible first-class constraints in the phase space into another dynamical system with first-class constraints. It is…

High Energy Physics - Theory · Physics 2023-06-16 I. L. Buchbinder , P. M. Lavrov

Strong light-matter coupling provides a promising path for the control of quantum matter where the latter is routinely described from first-principles. However, combining the quantized nature of light with this ab initio tool set is…

Quantum Physics · Physics 2024-10-22 Christian Schäfer , Florian Buchholz , Markus Penz , Michael Ruggenthaler , Angel Rubio

The use of the mass term as a gauge fixing term has been studied by Zwanziger, Parrinello and Jona-Lasinio, which is related to the non-linear gauge $A_{\mu}^{2}=\lambda$ of Dirac and Nambu in the large mass limit. We have recently shown…

High Energy Physics - Theory · Physics 2015-06-25 Kazuo Fujikawa , Hiroaki Terashima

We describe here the coherent formulation of electromagnetism in the non-relativistic quantum-mechanical many-body theory of interacting charged particles. We use the mathematical frame of the field theory and its quantization in the spirit…

Quantum Physics · Physics 2022-08-01 Ladislaus Alexander Bányai , Mircea Bundaru

We find an explicit form for the Jacobian of arbitrary field-dependent BRST transformations in Yang-Mills theory. For the functional-integral representation of the (gauge-fixed) Yang-Mills vacuum functional, such transformations merely…

High Energy Physics - Theory · Physics 2015-06-15 Peter M. Lavrov , Olaf Lechtenfeld

Cavity quantum electrodynamics (QED) generalizations of time-dependent (TD) density functional theory (DFT) and equation-of-motion (EOM) coupled-cluster (CC) theory are used to model small molecules strongly coupled to optical cavity modes.…

Chemical Physics · Physics 2023-07-19 Marcus D. Liebenthal , Nam Vu , A. Eugene DePrince

We provide a theoretical foundation for the notion of the quantum coherent state of the electrostatic field of a static external charge distribution introduced in a 1998 paper and rederive formulae there for the inner products of a pair of…

High Energy Physics - Theory · Physics 2022-01-19 Bernard S. Kay

We present a thorough analysis on the invariance of the most widely used metrics in the Geometrothermodynamics (GTD) programme. We centre our attention in the invariance of the curvature of the space of equilibrium states under a change of…

Mathematical Physics · Physics 2013-09-05 Alessandro Bravetti , Cesar S. Lopez-Monsalvo , Francisco Nettel , Hernando Quevedo

We show that the (gauge fixed) classical action of the Color Glass Condensate is invariant under a suitable Becchi-Rouet-Stora-Tyutin symmetry, that holds after the gluon modes are split into their fast, semi-fast and soft components,…

High Energy Physics - Phenomenology · Physics 2015-06-18 D. Binosi , A. Quadri , D. N. Triantafyllopoulos

We examine the unitarity of a class of generalized Maxwell U(1) gauge theories in (2+1) D containing the pseudodifferential operator $\Box^{1-\alpha}$, for $\alpha \in [0,1)$. We show that only Quantum Electrodynamics (QED$_3$) and its…

High Energy Physics - Theory · Physics 2015-01-07 E. C. Marino , Leandro O. Nascimento , Van Sérgio Alves , C. Morais Smith

In [1] a conjecture for the modular transformation of the free fermion generalised Gibbs ensemble (GGE) was given where only the KdV charge associated to the weight four quasi primary field was inserted. In this paper we first generalise…

High Energy Physics - Theory · Physics 2024-03-11 Max Downing

It was shown recently that unambiguous description of electromagnetic environments requires electromagnetic potentials; knowledge only of electric and magnetic fields is insufficient and can lead to error. Consequences of that demonstration…

General Physics · Physics 2020-03-26 H. R. Reiss

A relativistic density-functional theory based on a Fock-space effective quantum-electrodynamics (QED) Hamiltonian using the Coulomb or Coulomb-Breit two-particle interaction is developed. This effective QED theory properly includes the…

Chemical Physics · Physics 2021-05-03 Julien Toulouse

We present gauge invariant, self adjoint Einstein operators for mixed symmetry higher spin theories. The result applies to multi-forms, multi-symmetric forms and mixed antisymmetric and symmetric multi-forms. It also yields explicit action…

High Energy Physics - Theory · Physics 2010-03-19 D. Cherney , E. Latini , A. Waldron

The possibility of introducing non-perturbative infrared effects leading to a modification of the long distance behavior of gauge theories through a soft breaking of the BRST invariance is investigated. The method reproduces the…

High Energy Physics - Theory · Physics 2009-02-02 L. Baulieu , S. P. Sorella

We propose a solution to the problem of Bloch electrons in a homogeneous magnetic field by including the quantum fluctuations of the photon field. A generalized quantum electrodynamical (QED) Bloch theory from first principles is presented.…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Vasil Rokaj , Markus Penz , Michael A Sentef , Michael Ruggenthaler , Angel Rubio

We study a family of (possibly non topological) deformations of $BF$ theory for the Lie algebra obtained by quadratic extension of $\mathfrak{so}(3,1)$ by an orthogonal module. The resulting theory, called quadratically extended General…

Mathematical Physics · Physics 2024-07-02 Alberto S. Cattaneo , Leon Menger , Michele Schiavina

A comprehensive review of the equations of general relativity in the quasi-Maxwellian (QM) formalism introduced by Jordan, Ehlers and Kundt is made. Our main interest concerns its applications to the analysis of the perturbation of standard…

General Relativity and Quantum Cosmology · Physics 2015-06-15 M. Novello , E. Bittencourt , J. M. Salim

Following our previous paper (hep-th/9909027), we generalize a supersymmetric boundary state so that arbitrary configuration of the gauge field coupled to the boundary of the worldsheet is incorpolated. This generalized boundary state is…

High Energy Physics - Theory · Physics 2009-10-31 Koji Hashimoto

For the St$\ddot u$ckelberg-modified massive Abelian 3-form theory in any arbitrary D-dimension of spacetime, we show that its classical gauge symmetry transformations are generated by the first-class constraints. We establish that the…

High Energy Physics - Theory · Physics 2024-09-17 A. K. Rao , R. P. Malik
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