scholarly journals A Yang–Mills Theory in Loop Space and Chapline–Manton Coupling

1997 ◽  
Vol 12 (02) ◽  
pp. 111-119 ◽  
Author(s):  
Shinichi Deguchi ◽  
Tadahito Nakajima
Keyword(s):  
Field Theory ◽  
Local Field ◽  
Loop Space ◽  
Tensor Field ◽  
Symmetric Tensor ◽  
Tensor Fields ◽  
Yang Mills ◽  
Local Field Theory ◽  
Antisymmetric Tensor Field ◽  
Chern Simons

We consider a Yang–Mills theory in loop space with the affine gauge group. From this theory, we derive a local field theory with Yang–Mills fields and Abelian antisymmetric and symmetric tensor fields of the second rank. The Chapline–Manton coupling, i.e. coupling of Yang–Mills fields and a second-rank antisymmetric tensor field via the Chern–Simons three-form is obtained systematically.

scholarly journals ON THE LARGE N LIMIT, WILSON LOOPS, CONFINEMENT AND COMPOSITE ANTISYMMETRIC TENSOR FIELD THEORIES

2004 ◽  
Vol 19 (25) ◽  
pp. 4251-4270 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Tensor Field ◽  
Degrees Of Freedom ◽  
Vacuum Expectation ◽  
Field Theories ◽  
Antisymmetric Tensor ◽  
Wilson Loops ◽  
Tensor Fields ◽  
Yang Mills ◽  
Large N ◽  
Antisymmetric Tensor Field

A novel approach to evaluate the Wilson loops associated with a SU (∞) gauge theory in terms of pure string degrees of freedom is presented. It is based on the Guendelman–Nissimov–Pacheva formulation of composite antisymmetric tensor field theories of area (volume) preserving diffeomorphisms which admit p-brane solutions and which provide a new route to scale-symmetry breaking and confinement in Yang–Mills theory. The quantum effects are discussed and we evaluate the vacuum expectation values (VEV) of the Wilson loops in the large N limit of the quenched reduced SU (N) Yang–Mills theory in terms of a path integral involving pure string degrees of freedom. The quenched approximation is necessary to avoid a crumpling of the string worldsheet giving rise to very large Hausdorff dimensions as pointed out by Olesen. The approach is also consistent with the recent results based on the AdS/CFT correspondence and dual QCD models (dual Higgs model with dual Dirac strings). More general Loop wave equations in C-spaces (Clifford manifolds) are proposed in terms of generalized holographic variables that contain the dynamics of an aggregate of closed branes (p-loops) of various dimensionalities. This allows us to construct the higher-dimensional version of Wilson loops in terms of antisymmetric tensor fields of arbitrary rank which couple to p-branes of different dimensionality.

LOCAL GAUGE FIELDS BASED ON A U(1) GAUGE THEORY IN LOOP SPACE

1994 ◽  
Vol 09 (11) ◽  
pp. 1889-1908 ◽  
Author(s):  
SHINICHI DEGUCHI ◽  
TADAHITO NAKAJIMA
Keyword(s):  
Gauge Theory ◽  
Vector Field ◽  
Loop Space ◽  
Tensor Field ◽  
Antisymmetric Tensor ◽  
Quantum Theories ◽  
Massive Vector ◽  
Local Field Theory ◽  
Antisymmetric Tensor Field ◽  
Stueckelberg Formalism

We present a U(1) gauge theory defined in loop space, the space of all loops in Minkowski space. On the basis of the U(1) gauge theory, we derive a local field theory of the second-rank antisymmetric tensor field (Kalb-Ramond field) and the Stueckelberg formalism for a massive vector field; the second-rank antisymmetric tensor field and the massive vector field are regarded as parts of a U(1) gauge field on the loop space. We also consider the quantum theories of the second-rank antisymmetric tensor field and the massive vector field on the basis of a BRST formalism for the U(1) gauge theory in loop space. In addition, reparametrization invariance in the U(1) gauge theory is discussed in detail.

scholarly journals LOCAL GAUGE FIELDS BASED ON A YANG–MILLS THEORY IN LOOP SPACE

1995 ◽  
Vol 10 (07) ◽  
pp. 1019-1043 ◽  
Author(s):  
SHINICHI DEGUCHI ◽  
TADAHITO NAKAJIMA
Keyword(s):  
Minkowski Space ◽  
Loop Space ◽  
Symmetric Tensor ◽  
Gauge Fields ◽  
Tensor Fields ◽  
Yang Mills ◽  
Rank Tensor ◽  
Stueckelberg Formalism ◽  
Mills Field ◽  
Reparametrization Invariance

We construct a Yang–Mills theory in loop space (the space of all loops in Minkowski space) with the Kac–Moody gauge group in such a way that the theory possesses reparametrization invariance. On the basis of the Yang–Mills theory, we derive the usual Yang–Mills theory and a non-Abelian Stueckelberg formalism extended to local antisymmetric and symmetric tensor fields of the second rank. The local Yang–Mills field and the second-rank tensor fields are regarded as components of a Yang–Mills field on the loop space.

NEW METHODS IN QUANTUM NON-LOCAL FIELD THEORY

1992 ◽  
Vol 07 (21) ◽  
pp. 1895-1904 ◽  
Author(s):  
N.J. CORNISH
Keyword(s):  
Field Theory ◽  
Local Field ◽  
Underlying Structure ◽  
Yang Mills ◽  
Local Gauge ◽  
Functional Methods ◽  
Local Field Theory ◽  
Local Gauge Symmetry ◽  
Non Local ◽  
Insight Into

Functional methods are developed which serve to simplify greatly the calculations in quantum non-local field theory (QNFT). The techniques also serve to give an insight into the underlying structure of QNFT. We show that a transformation can be defined which relates the QNFT Lagrangian to its local antecedent. We prove that the non-local extension of the local gauge symmetry can be obtained by applying this transformation to the local gauge transformation. The utility of this method is demonstrated by an explicit application to both scalar electrodynamics and Yang-Mills field theory.

scholarly journals Spherically Symmetric Tensor Fields and Their Application in Nonlinear Theory of Dislocations

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 830
Author(s):  
Evgeniya V. Goloveshkina ◽  
Leonid M. Zubov
Keyword(s):  
Nonlinear Theory ◽  
Hollow Sphere ◽  
Tensor Field ◽  
Exact Analytical Solution ◽  
Symmetric Tensor ◽  
Symmetric Distribution ◽  
Spherically Symmetric ◽  
Tensor Fields ◽  
Spherically Symmetric Distribution ◽  
Nonlinear Elastic

The concept of a spherically symmetric second-rank tensor field is formulated. A general representation of such a tensor field is derived. Results related to tensor analysis of spherically symmetric fields and their geometric properties are presented. Using these results, a formulation of the spherically symmetric problem of the nonlinear theory of dislocations is given. For an isotropic nonlinear elastic material with an arbitrary spherically symmetric distribution of dislocations, this problem is reduced to a nonlinear boundary value problem for a system of ordinary differential equations. In the case of an incompressible isotropic material and a spherically symmetric distribution of screw dislocations in the radial direction, an exact analytical solution is found for the equilibrium of a hollow sphere loaded from the outside and from the inside by hydrostatic pressures. This solution is suitable for any models of an isotropic incompressible body, i. e., universal in the specified class of materials. Based on the obtained solution, numerical calculations on the effect of dislocations on the stress state of an elastic hollow sphere at large deformations are carried out.

Local field theory for solitons. II.

1979 ◽  
Vol 19 (8) ◽  
pp. 2357-2366 ◽  
Author(s):  
K. Bardakci
Keyword(s):  
Field Theory ◽  
Local Field ◽  
Local Field Theory

scholarly journals BATALIN–VILKOVISKY YANG–MILLS THEORY AS A HOMOTOPY CHERN–SIMONS THEORY VIA STRING FIELD THEORY

2009 ◽  
Vol 24 (07) ◽  
pp. 1309-1331 ◽  
Author(s):  
ANTON M. ZEITLIN
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Simons Theory ◽  
Yang Mills ◽  
Algebraic Constructions ◽  
Chern Simons ◽  
Chern Simons Theory

We show explicitly how Batalin–Vilkovisky Yang–Mills action emerges as a homotopy generalization of Chern–Simons theory from the algebraic constructions arising from string field theory.

Asymptotic relations between cross sections in local field theory

1963 ◽  
Vol 7 (1) ◽  
pp. 69-71 ◽  
Author(s):  
A.A. Logunov ◽  
Nguyen Van Hieu ◽  
I.T. Todorov ◽  
O.A. Khrustalev
Keyword(s):  
Field Theory ◽  
Cross Sections ◽  
Local Field ◽  
Local Field Theory
Sign in / Sign up

Export Citation Format

Share Document