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The time dependent quantum variational principle is emerging as an important means of studying quantum dynamics, particularly in early universe scenarios. To date all investigations have worked within a Gaussian framework. Here we present…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Gareth J. Cheetham , E. J. Copeland

We construct fully gauge-invariant kinetic terms for open and closed string field theories on a target space with boundary. This is realized by promoting the gauge parameters at the boundary to extra dynamical modes describing boundary…

High Energy Physics - Theory · Physics 2026-02-10 Carlo Maccaferri , Alberto Ruffino , Jakub Vošmera

We evaluate gauge invariants (vacuum energy and gauge invariant overlap) for numerical classical solutions in cubic open string field theory under Asano-Kato's $a$-gauge fixing condition. We propose an efficient iterative procedure for…

High Energy Physics - Theory · Physics 2009-08-05 Isao Kishimoto , Tomohiko Takahashi

A generalization of classical gauge theory is presented, in the framework of a noncommutative-geometric formalism of quantum principal bundles over smooth manifolds. Quantum counterparts of classical gauge bundles, and classical gauge…

q-alg · Mathematics 2008-11-26 Mico Durdevic

A gauge invariant action for the open bosonic string has been proposed in an earlier paper. We work out the consequences of this proposal for the lowest mode, viz. the tachyon. The action can be calculated for generic momenta,…

High Energy Physics - Theory · Physics 2009-07-22 B. Sathiapalan

The gauge dependence in the anomalous dimension of the gauge-invariant-canonical-energy-momentum tensor for proton is studied by the background field method. The naive calculation shows the problem, the absence of the counter term in the…

High Energy Physics - Phenomenology · Physics 2017-03-17 Yoshio Kitadono , Pengming Zhang

It is argued that the massive non-Abelian gauge field theory without involving Higgs bosons may be well established on the basis of gauge-invariance principle because the dynamics of the field is gauge-invariant in the physical space…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

The Hamiltonian formulation for a non-Abelian gauge theory in two spatial dimensions is carried out in terms of a gauge-invariant matrix parametrization of the fields. The Jacobian for the relevant transformation of variables is given in…

High Energy Physics - Theory · Physics 2009-10-28 Dimitra Karabali , V. P. Nair

An implicit fundamental assumption in relativistic perturbation theory is that there exists a parametric family of spacetimes that can be Taylor expanded around a background. The choice of the latter is crucial to obtain a manageable…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Marco Bruni , Leonardo Gualtieri , Carlos F. Sopuerta

We argue that, ideally, the ways to measure magnitudes in non-quantum theories of physics (spacetime, field theory), limit drastically their possible mathematical models. In particular, gauge invariance in the Yang-Mills framework, is a…

Mathematical Physics · Physics 2008-03-12 Miguel Sánchez

In classical mechanics, we can describe the dynamics of a given system using either the Lagrangian formalism or the Hamiltonian formalism, the choice of either one being determined by whether one wants to deal with a second degree…

High Energy Physics - Theory · Physics 2007-05-23 A. T. Suzuki , J. H. O. Sales

The main limitations of string field theory arise because its present formulation requires a background representing a classical solution, a background defined by a strictly conformally invariant theory. Here we sketch a construction for a…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

Based on empirical evidence, quantum systems appear to be strictly linear and gauge invariant. This work uses concise mathematics to show that quantum eigenvalue equations on a one dimensional ring can either be gauge invariant or have a…

Quantum Physics · Physics 2014-07-15 Arthur Davidson

In this paper we generalize the quantum gauge transformation of Maxwell theory obtained through gaugeon formalism. The generalization is made by making the bosonic transformation parameter field-dependent. The Jacobian of vacuum functional…

High Energy Physics - Theory · Physics 2014-02-17 Sudhaker Upadhyay

We review some selected aspects of the construction of gauge invariant operators in field theories on non-commutative spaces and their relation to the energy momentum tensor as well as to the non-commutative loop equations.

High Energy Physics - Theory · Physics 2015-06-26 Harald Dorn

We investigate gauge dependence of a nonrelativistic boundstate formalism used in contemporary calculations. It is known that the effective Hamiltonian of the boundstate system depends on the choice of gauge. We obtain the gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Sumino

Based on the most general principles of reality, gauge and reparametrization invariance, a problem of constructing the action describing dynamics of a classical color-charged particle interacting with background non-Abelian gauge and…

High Energy Physics - Theory · Physics 2014-11-20 Yuri A. Markov , Margaret A. Markova , Alexey A. Shishmarev

We argue that the quantized non-Abelian gauge theory can be obtained as the infrared limit of the corresponding classical gauge theory in a higher dimension. We show how the transformation from classical to quantum field theory emerges, and…

High Energy Physics - Theory · Physics 2015-06-26 T. S. Biro , S. G. Matinyan , B. Muller

In this paper we discuss how the gauge principle can be applied to classical-mechanics models with finite degrees of freedom. The local invariance of a model is understood as its invariance under the action of a matrix Lie group of…

Mathematical Physics · Physics 2022-03-03 B. F. Rizzuti , G. F. Vasconcelos

Study of gauge symmetry is carried over the different interacting and noninteracting field theoretical models through a prescription based on lagrangian formulation. It is found that the prescription is capable of testing whether a given…

High Energy Physics - Theory · Physics 2014-04-17 Safia Yasmin , Anisur Rahaman