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A new approach to the study of nonrelativistic bosonic string in flat space time is introduced, basing on a holistic hamiltonian analysis of the minimal action for the string. This leads to a structurally new form of the action which is,…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Rabin Banerjee , Sk. Moinuddin , Pradip Mukherjee

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

A nonperturbative approach for spontaneous symmetry breaking is proposed. It is based on some properties of interacting field operators. As the consequences an additional terms like to m^2 A^2 appears in the initial Lagrangian.

High Energy Physics - Theory · Physics 2007-05-23 Vladimir Dzhunushaliev

The role of the gauge invariance in noncommutative field theory is discussed. A basic introduction to noncommutative geometry and noncommutative field theory is given. Background invariant formulation of Wilson lines is proposed. Duality…

High Energy Physics - Theory · Physics 2007-05-23 Corneliu Sochichiu

Spacetime non-commutativity appears in string theory. In this paper, the non-commutativity in string theory is reviewed. At first we review that a Dp-brane is equivalent to a configuration of infinitely many D($p-2$)-branes. If we consider…

High Energy Physics - Theory · Physics 2007-05-23 Ken-Ichi Tezuka

We describe a method of writing down interacting equations for all the modes of the bosonic open string. It is a generalization of the loop variable approach that was used earlier for the free, and lowest order interacting cases. The…

High Energy Physics - Theory · Physics 2011-04-20 B. Sathiapalan

In this article we consider an open string attached to a D$_p$-brane, in the presence of the pp-wave and background gauge fields. The effects of the string mass on the open string propagator, open string metric and the noncommutativity…

High Energy Physics - Theory · Physics 2009-11-10 Davoud Kamani

We discuss the symmetry properties of the reparametrization invariant model of an interacting relativistic particle where the electromagnetic field is taken as the constant background field. The direct coupling between the relativistic…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

The concept of covariant coordinates on noncommutative spaces leads directly to gauge theories with generalized noncommutative gauge fields of the type that arises in string theory with background B-fields. The theory is naturally expressed…

High Energy Physics - Theory · Physics 2009-11-07 Branislav Jurco , Peter Schupp , Julius Wess

We discuss the Hodge theory of algebraic non-commutative spaces and analyze how this theory interacts with the Calabi-Yau condition and with mirror symmetry. We develop an abstract theory of non-commutative Hodge structures, investigate…

Algebraic Geometry · Mathematics 2008-06-03 L. Katzarkov , M. Kontsevich , T. Pantev

Local symmetries is one of the most successful themes in modern theoretical physics. Although they are usually associated to Lie algebras, a gradual increase of interest in more general situations where local symmetries are associated to…

High Energy Physics - Theory · Physics 2017-04-26 Athanasios Chatzistavrakidis

A large class of non-critical string theories with extended worldsheet gauge symmetry are described by two coupled, gauged Wess-Zumino-Witten Models. We give a detailed analysis of the gauge invariant action and in particular the gauge…

High Energy Physics - Theory · Physics 2016-08-24 Alex Deckmyn , Ruud Siebelink , Walter Troost , Alexander Sevrin

In this review we present some of the fundamental mathematical structures which permit to define noncommutative gauge field theories. In particular, we emphasize the theory of noncommutative connections, with the notions of curvatures and…

Mathematical Physics · Physics 2015-06-03 Thierry Masson

Comparison of the oscillatory behavior of a gravitating infinite Nambu-Goto string and a test string is investigated using the general relativistic gauge invariant perturbation technique with two infinitesimal parameters on a flat spacetime…

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

The divergence structure of non-commutative gauge field theories (NCGFT) with a Slavnov extension is examined at one-loop level with main focus on the gauge boson self-energy. Using an interpolating gauge we show that even with this…

High Energy Physics - Theory · Physics 2009-11-11 D. N. Blaschke , S. Hohenegger , M. Schweda

In these proceedings, we discuss non-commutativity in closed string theory. In analogy to the open-string sector, for closed strings we first motivate a cyclic double commutator to be evaluated for backgrounds with geometric or…

High Energy Physics - Theory · Physics 2012-04-13 Erik Plauschinn

Introducing constant background fields into the noncommutative gauge theory, we first obtain a Hermitian fermion Lagrangian which involves a Lorentz violation term, then we generalize it to a new deformed canonical noncommutation relations…

High Energy Physics - Phenomenology · Physics 2015-03-03 Cui-bai Luo , Feng-yao Hou , Zhu-fang Cui , Xiao-jun Liu , Hong-shi Zong

We discuss aspects of global and gauged symmetries in quantum field theory and quantum gravity, focusing on discrete gauge symmetries. An effective Lagrangian description of $\Z_p$ gauge theories shows that they are associated with an…

High Energy Physics - Theory · Physics 2011-04-22 Tom Banks , Nathan Seiberg

We propose an alternative interpretation for the meaning of noncommutativity of the string-inspired field theories and quantum mechanics. Arguments are presented to show that the noncommutativity generated in the stringy context should be…

High Energy Physics - Theory · Physics 2010-02-03 G. Dourado Barbosa

The model of D4 open string with non-Grassmann spinning variables is considered. The non-linear gauge, which is invariant both Poincar\'e and scale transformations of the space-time, is used for subsequent studies. It is shown that the…

High Energy Physics - Theory · Physics 2008-11-26 S. V. Talalov