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Starting from relativistic quantum field theories, describing interacting nucleons and pions coupled to the dynamical electromagnetic field, the pion degrees of freedom are eliminated by means of functional integration. Apart from taking…

Nuclear Theory · Physics 2009-10-30 H. W. L. Naus

A review of various aspects of superstrings in background electromagnetic fields is presented. Topics covered include the Born-Infeld action, spectrum of open strings in background gauge fields, the Schwinger mechanism, finite-temperature…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , Y. M. Makeenko , G. W. Semenoff , R. J. Szabo

A manifestly covariant treatment of the free quantum eletromagnetic field, in a linear covariant gauge, is implemented employing the Schwinger's Variational Principle and the B-field formalism. It is also discussed the abelian Proca's model…

High Energy Physics - Theory · Physics 2009-11-11 C. A. M. de Melo , B. M. Pimentel , P. J. Pompeia

Recent progress in string theory has led to a reformulation of quantum-group polynomial invariants for knots and links into new polynomial invariants whose coefficients can be understood in topological terms. We describe in detail how to…

Quantum Algebra · Mathematics 2007-05-23 Jose M. F. Labastida , Marcos Marino

I present a summary of the recent progress made in field and string theory which has led to a reformulation of quantum-group polynomial invariants for knots and links into new polynomial invariants whose coefficients can be described in…

High Energy Physics - Theory · Physics 2007-05-23 Jose M. F. Labastida

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a…

High Energy Physics - Theory · Physics 2010-04-07 Nathan Seiberg , Edward Witten

Gauge field theories may quite generally be defined as describing the coupling of a matter-field to an interaction-field, and they are suitably represented in the mathematical framework of fiber bundles. Their underlying principle is the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Holger Lyre

Modern undergraduate textbooks in electricity and magnetism typically focus on a force representation of electrodynamics with an emphasis on Maxwell's Equations and the Lorentz Force Law. The vector potential $\mathbf{A}$ and scalar…

General Physics · Physics 2008-07-15 T. Stein

Some model-independent properties of the effective string of gauge field systems in the confining phase , for very large quark separations, are described in terms of two-dimensional conformal field theories. The constraints induced by the…

High Energy Physics - Lattice · Physics 2011-04-15 F. Gliozzi

Quantum field theory is assumed to be gauge invariant. However it is well known that when certain quantities are calculated using perturbation theory the results are not gauge invariant. The non-gauge invariant terms have to be removed in…

Quantum Physics · Physics 2007-05-23 Dan Solomon

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

String theories should reduce to ordinary four-dimensional field theories at low energies. Yet the formulation of the two are so different that such a connection, if it exists, is not immediately obvious. With the Schwinger proper-time…

High Energy Physics - Theory · Physics 2009-10-28 Y. J. Feng , C. S. Lam

It is shown that the finite size corrections to the spectrum of the giant magnon solution of classical string theory, computed using the uniform light-cone gauge, are gauge invariant and have physical meaning. This is seen in two ways: from…

High Energy Physics - Theory · Physics 2008-11-26 Davide Astolfi , Valentina Forini , Gianluca Grignani , Gordon W. Semenoff

We study how canonical transfomations in first quantized string theory can be understood as gauge transformations in string field theory. We establish this fact by working out some examples. As a by product, we could identify some of the…

High Energy Physics - Theory · Physics 2009-10-22 J. Maharana , S. mukherji

We discuss some aspects of noncommutative quantum field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. General properties of these theories are studied as well as the…

High Energy Physics - Theory · Physics 2008-11-26 L. Alvarez-Gaume , M. A. Vazquez-Mozo

We consider the Hamiltonian constraint formulation of classical field theories, which treats spacetime and the space of fields symmetrically, and utilizes the concept of momentum multivector. The gauge field is introduced to compensate for…

Mathematical Physics · Physics 2018-05-04 Vaclav Zatloukal

We consider open bosonic strings. The non-interacting multi-string theory is described by certain free string field operators which we construct. These are shown to have local commutators with respect to a center of mass coordinate. The…

Mathematical Physics · Physics 2007-05-23 J. Dimock

We present a manifestly Lorentz- and SO(2)-Duality-invariant local Quantum Field Theory of electric charges, Dirac magnetic monopoles and dyons. The manifest invariances are achieved by means of the PST-mechanism. The dynamics for classical…

High Energy Physics - Theory · Physics 2009-10-31 K. Lechner , P. A. Marchetti

In the AdS/CFT correspondence we consider correlation functions of gauge-invariant operators on the gauge theory side, which we obtain in the low-energy limit of the open string sector. To investigate this low-energy limit we consider the…

High Energy Physics - Theory · Physics 2020-07-01 Daiki Koyama , Yuji Okawa , Nanami Suzuki

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