scholarly journals Wilson loops in the Higgs phase of large N field theories on the conifold.

2000 ◽  
Vol 2000 (06) ◽  
pp. 027-027 ◽  
Author(s):  
Elena Cáceres ◽  
Rafael Hernández
Keyword(s):  
Field Theories ◽  
Wilson Loops ◽  
Large N

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.

Instantons versus factorization in large-N field theories

1984 ◽  
Vol 140 (5-6) ◽  
pp. 375-378 ◽  
Author(s):  
Pierre van Baal
Keyword(s):  
Field Theories ◽  
Large N

scholarly journals EVALUATION OF OBSERVABLES IN THE GAUSSIAN N=∞ KAZAKOV-MIGDAL MODEL

1994 ◽  
Vol 09 (29) ◽  
pp. 5033-5051 ◽  
Author(s):  
M.I. DOBROLIUBOV ◽  
G.W. SEMENOFF ◽  
N. WEISS ◽  
A. MOROZOV
Keyword(s):  
Phase Transition ◽  
Wilson Loops ◽  
Gaussian Potential ◽  
Large N ◽  
Explicit Formulae

In this paper, we examine the properties of observables in the Kazakov-Migdal model. We present explicit formulae for the leading asymptotics of adjoint Wilson loops as well as some other observables for the model with a Gaussian potential. We discuss the phase transition in the large N limit of the D=1 model. One of the appendices is devoted to discussion of the N=∞ Itzykson-Zuber integrals for arbitrary eigenvalue densities.

scholarly journals ON TWO-DIMENSIONAL QUASITOPOLOGICAL FIELD THEORIES

2009 ◽  
Vol 24 (32) ◽  
pp. 6105-6121 ◽  
Author(s):  
P. TEOTONIO-SOBRINHO ◽  
C. MOLINA ◽  
N. YOKOMIZO
Keyword(s):  
Hopf Algebras ◽  
Gauge Theories ◽  
Local Symmetry ◽  
Two Dimensions ◽  
Field Theories ◽  
Partition Functions ◽  
Wilson Loops ◽  
Two Dimensional ◽  
Lattice Field ◽  
Expected Values

We study a class of lattice field theories in two dimensions that includes gauge theories. We show that in these theories it is possible to implement a broader notion of local symmetry, based on semisimple Hopf algebras. A character expansion is developed for the quasitopological field theories, and partition functions are calculated with this tool. Expected values of generalized Wilson loops are defined and studied with the character expansion.

scholarly journals A Study of Confinement for QQ- Potentials on D3, M2, and M5 Branes

2017 ◽  
Vol 2017 ◽  
pp. 1-11
Author(s):  
Edward Quijada ◽  
Henrique Boschi-Filho
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Flux Tube ◽  
Flat Space ◽  
The Other ◽  
Field Theories ◽  
Wilson Loops ◽  
Interaction Potentials ◽  
Conformal Field ◽  
Horizon Geometry

We study analytically and numerically the interaction potentials between a pair of quark and antiquark on D3, M2, and M5 branes. These potentials are obtained using Maldacena’s method involving Wilson loops and present confining and nonconfining behaviours in different situations that we explore in this work. In particular, at the near horizon geometry, the potentials are nonconfining in agreement with conformal field theory expectations. On the other side, far from horizon, the dual field theories are no longer conformal and the potentials present confinement. This is in agreement with the behaviour of strings in flat space where the string mimics the expected flux tube of QCD. A study of the transition between the confining/nonconfining regimes in the three different scenarios (D3, M2, and M5) is also performed.

Internal collective motions and the large-N limit in field theories

1982 ◽  
Vol 200 (3) ◽  
pp. 439-456 ◽  
Author(s):  
Tamiaki Yoneya ◽  
Hiroshi Itoyama
Keyword(s):  
Field Theories ◽  
Large N ◽  
Collective Motions

Equivalent lagrangians in large N field theories

1984 ◽  
Vol 135 (4) ◽  
pp. 302-306 ◽  
Author(s):  
Kiyoshi Higashijima ◽  
Tsuneo Uematsu ◽  
Yang-zheng Yu
Keyword(s):  
Field Theories ◽  
Large N
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