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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

By applying properly the concept of twist symmetry to the gauge invariant theories, we arrive at the conclusion that previously proposed in the literature noncommutative gauge theories, with the use of $\star$-product, are the correct ones,…

High Energy Physics - Theory · Physics 2008-11-26 M. Chaichian , A. Tureanu

We investigate gauge invariant cosmological perturbations in a spatially flat Friedman-Robertson-Walker universe with scalar fields. It is well known that the evolution equation for the gauge invariant quantities has exact solutions in the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yasusada Nambu , Atsushi Taruya

We suggest that proper variables for the description of non-Abelian theories are those gauge invariant ones which keep the invariance of the winding number functional with respect to topologically nontrivial (large) gauge transformations.…

High Energy Physics - Theory · Physics 2007-05-23 D. Blaschke , V. N. Pervushin , G. Roepke

In free completely symmetric tensor gauge field theories on Minkowski space-time, all gauge invariant functions and Killing tensor fields are computed, both on-shell and off-shell. These problems are addressed in the metric-like formalisms.

High Energy Physics - Theory · Physics 2010-04-05 Xavier Bekaert , Nicolas Boulanger

We propose a new basis in Witten's open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge the classical string field equation of motion yields straightforwardly an exact analytic…

High Energy Physics - Theory · Physics 2008-11-26 Martin Schnabl

The adiabatic self-consistent collective coordinate (ASCC) method is a practical microscopic theory of large-amplitude collective motions in nuclei with superfluidity. We show that its basic equations are invariant against transformations…

Nuclear Theory · Physics 2011-02-02 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

We evaluate vacuum energy density of Schnabl's solution using the level truncation calculation and the total action including interaction terms. The level truncated solution provides vacuum energy density expected both for tachyon vacuum…

High Energy Physics - Theory · Physics 2009-05-20 Tomohiko Takahashi

Products defined in the context of noncommutative gauge theory allow for an interpolation between exact results on tachyon potentials at zero and large background B-fields. Techniques for computations of effective actions are transposed…

High Energy Physics - Theory · Physics 2010-02-03 Pascal Grange

We present a direct field theoretical calculation of the consistent gauge anomaly in the superfield formalism, on the basis of a definition of the effective action through the covariant gauge current. The scheme is conceptually and…

High Energy Physics - Theory · Physics 2009-10-31 Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki , Hirofumi Yasuta

We consider the gauge algebra of closed string field theory with a focus on diffeomorphisms. This algebra contains off-shell information in two ways. The first way is geometric, through the choice of three-punctured sphere defining the…

High Energy Physics - Theory · Physics 2025-06-16 Raji Ashenafi Mamade , Barton Zwiebach

We formulate gauge invariance for the equilibrium statistical mechanics of classical multi-component systems. Species-resolved phase space shifting constitutes a gauge transformation which we analyze using Noether's theorem and shifting…

The procedure to find gauge invariant variables for two-parameter nonlinear perturbations in general relativity is considered. For each order metric perturbation, we define the variable which is defined by the appropriate combination with…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kouji Nakamura

We carry out a gauge invariant analysis of certain perturbations of $D-2$-branes solutions of low energy string theories. We get generically a system of second order coupled differential equations, and show that only in very particular…

High Energy Physics - Theory · Physics 2014-11-20 Adrián R. Lugo , Mauricio B. Sturla

We extend the gauge invariant variational approach of Phys. Rev. D52 (1995) 3719, hep-th/9408081, to theories with fermions. As the simplest example we consider the massless Schwinger model in 1+1 dimensions. We show that in this solvable…

High Energy Physics - Theory · Physics 2009-10-31 William E. Brown , Juan P. Garrahan , Ian I. Kogan , Alex Kovner

We discuss the construction of boundary contributions to free string field theory actions in the context of the bosonic string. We show that it is generally possible to obtain a well-defined variational principle by adding a simple boundary…

High Energy Physics - Theory · Physics 2025-02-27 Carlo Maccaferri , Riccardo Poletti , Alberto Ruffino , Jakub Vošmera

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

The gluon tree amplitudes of open twistor string theory, defined as contour integrals over the ACCK link variables, are shown to satisfy the BCFW relations, thus confirming that they coincide with the corresponding amplitudes in gauge field…

High Energy Physics - Theory · Physics 2015-06-03 Louise Dolan , Peter Goddard

We study some properties of the tachyonic lumps in the level truncation scheme of bosonic cubic string field theory. We find that several gauges work well and that the size of the lump as well as its tension is approximately independent of…

High Energy Physics - Theory · Physics 2010-05-28 Kazuki Ohmori

Contrary to the conventional view point of quantization that breaks the gauge symmetry, a gauge invariant formulation of quantum electrodynamics is proposed. Instead of fixing the gauge, some frame is chosen to yield the locally invariant…

High Energy Physics - Theory · Physics 2007-05-23 Taro Kashiwa , Yasushi Takahashi
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