Spin-2 field theories and the tensor-field identity

1972 ◽  
Vol 8 (2) ◽  
pp. 319-330 ◽  
Author(s):  
A. Maheshwari
Keyword(s):  
Tensor Field ◽  
Field Theories

Perihelion precessions in second-order Lagrangian tensor field theories

1975 ◽  
Vol 13 (4) ◽  
pp. 145-148 ◽  
Author(s):  
G. Cavalleri ◽  
G. Spinelli
Keyword(s):  
Tensor Field ◽  
Second Order ◽  
Field Theories

scholarly journals p-BRANES AS COMPOSITE ANTISYMMETRIC TENSOR FIELD THEORIES

1998 ◽  
Vol 13 (08) ◽  
pp. 1263-1292 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Tensor Field ◽  
Target Space ◽  
Field Theories ◽  
Antisymmetric Tensor ◽  
Field Equations ◽  
Light Cone Gauge ◽  
Infinite Dimensional ◽  
Dimensional Group ◽  
Antisymmetric Tensor Field ◽  
Covariant Action

p′-brane solutions to rank p+1 composite antisymmetric tensor field theories of the kind developed by Guendelman, Nissimov and Pacheva are found when the dimensionality of space–time is D=(p+1)+(p′+1). These field theories possess an infinite-dimensional group of global Noether symmetries, that of volume-preserving diffeomorphisms of the target space of the scalar primitive field constituents. Crucial in the construction of p′ brane solutions are the duality transformations of the fields and the local gauge field theory formulation of extended objects given by Aurilia, Spallucci and Smailagic. Field equations are rotated into Bianchi identities after the duality transformation is performed and the Clebsch potentials associated with the Hamilton–Jacobi formulation of the p′ brane can be identified with the duals of the original scalar primitive constituents. Explicit examples are worked out the analog of S and T duality symmetry are discussed. Different types of Kalb–Ramond actions are given and a particular covariant action is presented which bears a direct relation to the light cone gauge p-brane action.

scholarly journals Condensation of p-Branes and Generalized Higgs/Confinement Duality

1997 ◽  
Vol 12 (06) ◽  
pp. 1227-1235 ◽  
Author(s):  
Fernando Quevedo ◽  
Carlo A. Trugenberger
Keyword(s):  
Phase Transition ◽  
Recent Work ◽  
Finite Temperature ◽  
Weak Coupling ◽  
Tensor Field ◽  
Low Energy ◽  
Field Theories ◽  
Antisymmetric Tensor ◽  
Antisymmetric Tensor Field

We review our recent work on the low-energy actions and the realizations of strong-weak coupling dualities in non-perturbative phases of compact antisymmetric tensor field theories due to p-brane condensation. As examples we derive and discuss the confining string and confining membrane actions obtained from compact vector and tensor theories in 4D. We also mention the relevance of our results for the description of the Hagedorn phase transition of finite temperature strings.

scholarly journals The hidden scalar Lagrangians within Horndeski theory

2020 ◽  
Vol 29 (14) ◽  
pp. 2043004
Author(s):  
Gregory W. Horndeski
Keyword(s):  
Scalar Field ◽  
Generating Function ◽  
Cotangent Bundle ◽  
Tensor Field ◽  
Scalar Fields ◽  
Field Theories ◽  
Metric Tensor ◽  
Cosmological Solutions ◽  
Different Types ◽  
Vacuum Solutions

In this paper, I show that there exists a new way to obtain scalar–tensor field theories by combining a special scalar field on the cotangent bundle with a scalar field on spacetime. These two scalar fields act as a generating function for the metric tensor. When using these two scalar fields in the Horndeski Lagrangians, we discover, while seeking Friedmann–Lemaître–Robertson–Walker-type cosmological solutions, that hidden in the Horndeski Lagrangians are nondegenerate second-order scalar Lagrangians. In accordance with Ostrogradsky’s work, these hidden scalar Lagrangians lead to multiple vacuum solutions, and thereby predict the existence of the multiverse. The multiverse is comprised of numerous different types of individual universes. For example, some begin explosively, and then coast along exponentially forever at an accelerated rate, while others begin in that manner, and then stop expanding and contract.

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.

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