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We study the gauge theories on noncommutative space. We employ the idea of the covariant position to understand the linear and angular momenta, the center of mass position, and to express all gauge invariant observables including the Wilson…

High Energy Physics - Theory · Physics 2014-11-18 Dongsu Bak , Kimyeong Lee , Jeong-Hyuck Park

We continue earlier discussions on the exact renormalization group and loop variables on the string world sheet for closed and open string backgrounds. The world sheet action with a UV regulator is written in a generally background…

High Energy Physics - Theory · Physics 2015-06-22 B. Sathiapalan

We describe how to overcome some problems that usually prevent from obtaining an efficient algorithm to fix a generic covariant gauge on the lattice. This gauge is the lattice equivalent of the generic gauge usually adopted in perturbative…

High Energy Physics - Lattice · Physics 2015-06-25 L. Giusti , M. L. Paciello , S. Petrarca , B. Taglienti

The gauge invariance of open string field theory is considered from the point of view of level truncation, and applications to the tachyon condensation problem are discussed. We show that the region of validity of Feynman-Siegel gauge can…

High Energy Physics - Theory · Physics 2007-05-23 Ian Ellwood , Washington Taylor

We consider the construction of gauge theories of gravity that are invariant under local conformal transformations. We first clarify the geometric nature of global conformal transformations, in both their infinitesimal and finite forms, and…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Michael Hobson , Anthony Lasenby

We discuss the possibility to obtain a massive Landau gauge, based on the local composite operator (LCO) effective action framework combined with the Zimmerman reduction of couplings prescription. As a way to deal with the gauge ambiguity,…

High Energy Physics - Theory · Physics 2024-01-31 Giorgio Comitini , Tim De Meerleer , David Dudal , Silvio Paolo Sorella

We use lattice techniques to study the closed-string spectrum of SU(N) gauge theories in 2+1 dimensions. We calculate the energies of the lowest lying ~30 states for strings with lengths between l ~ 0.45 fm and l ~ 3 fm, and compare to…

High Energy Physics - Lattice · Physics 2008-11-26 Andreas Athenodorou , Barak Bringoltz , Michael Teper

Yes, there is. - A new kind of gauge theory is introduced, where the minimal coupling and corresponding covariant derivatives are defined in the space of functions pertaining to the functional Schroedinger picture of a given field theory.…

Quantum Physics · Physics 2008-11-26 Hans-Thomas Elze

We propose a method of constructing a gauge invariant canonical formulation for non-gauge classical theory which depends on a set of parameters. Requirement of closure for algebra of operators generating quantum gauge transformations leads…

High Energy Physics - Theory · Physics 2015-06-26 I. L. Buchbinder , V. D. Pershin , G. B. Toder

We formulate the Schwinger-Dyson equations in the ladder approximation for 2D induced quantum gravity with fermions using covariant gauges of harmonic type. It is shown that these equations can be formulated consistently in a gauge of…

High Energy Physics - Theory · Physics 2009-09-25 E. Elizalde , S. D. Odintsov , Yu. I. Shil'nov

We discuss gauge theories for commutative but non-associative algebras related to the $ SO(2k+1)$ covariant finite dimensional fuzzy $2k$-sphere algebras. A consequence of non-associativity is that gauge fields and gauge parameters have to…

High Energy Physics - Theory · Physics 2009-11-10 Sanjaye Ramgoolam

It is shown that gauge theories are most naturally studied via a polar decomposition of the field variable. Gauge transformations may be viewed as those that leave the density invariant but change the phase variable by additive amounts. The…

Other Condensed Matter · Physics 2016-08-31 Girish S. Setlur

We show that in a spontaneously broken effective gauge field theory, quantized in a general background $R_\xi$-gauge, also the background fields undergo a non-linear (albeit background-gauge invariant) field redefinition induced by…

High Energy Physics - Theory · Physics 2021-02-23 Andrea Quadri

Gauge theory on the q-deformed two-dimensional Euclidean plane R^2_q is studied using two different approaches. We first formulate the theory using the natural algebraic structures on R^2_q, such as a covariant differential calculus, a…

High Energy Physics - Theory · Physics 2009-11-10 Frank Meyer , Harold Steinacker

A string background, which is in some precise sense {\em universal} (i.e., incorporating all orders in the Feynman diagram expansion), is proposed to represent pure gauge theories. S-duality at the level of the string metric is considered…

High Energy Physics - Theory · Physics 2007-05-23 Enrique Alvarez , César Gómez

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

The standard covariant differentiation procedure for fields in vector bundles is generalised so as to be applicable to fields in general nonaffine bundles in which the fibres may have an arbitrary nonlinear structure. In addition to the…

High Energy Physics - Theory · Physics 2009-10-29 Brandon Carter

There is considered an extension of gauge theories according to the assumption of a generalized uncertainty principle which implies a minimal length scale. A modification of the usual uncertainty principle implies an extended shape of…

General Physics · Physics 2011-12-06 Martin Kober

Quantization of electromagnetic fields is investigated in the framework of stochastic variational method (SVM). Differently from the canonical quantization, this method does not require canonical form and quantization can be performed…

High Energy Physics - Theory · Physics 2014-06-25 T. Koide. T. Kodama , K. Tsushima

We present a covariant study of static space-times, as such and as solutions of gravity theories. By expressing the relevant tensors through the velocity and the acceleration vectors that characterise static space-times, the field equations…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Carlo Alberto Mantica , Luca Guido Molinari
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