Particle spectrum in model field theories from semiclassical solutions of the field equations

1976 ◽  
Vol 13 (12) ◽  
pp. 3295-3312 ◽  
Author(s):  
Abraham Klein ◽  
Franz Krejs
Keyword(s):  
Field Theories ◽  
Particle Spectrum ◽  
Field Equations ◽  
Model Field

Particle spectrum in model field theories from semiclassical functional integral techniques

1975 ◽  
Vol 11 (12) ◽  
pp. 3424-3450 ◽  
Author(s):  
Roger F. Dashen ◽  
Brosl Hasslacher ◽  
André Neveu
Keyword(s):  
Functional Integral ◽  
Field Theories ◽  
Particle Spectrum ◽  
Model Field

Alternative Formulations of Scattering in Model Field Theories

1965 ◽  
Vol 6 (11) ◽  
pp. 1653-1663
Author(s):  
Harry Gelman ◽  
Kurt Haller
Keyword(s):  
Field Theories ◽  
Model Field

scholarly journals Independent-Cluster Parametrizations of Wave Functions in Model Field Theories

1993 ◽  
Vol 227 (2) ◽  
pp. 275-333 ◽  
Author(s):  
J.S. Arponen ◽  
R.F. Bishop
Keyword(s):  
Wave Functions ◽  
Field Theories ◽  
Model Field

scholarly journals A geometrical analysis of the field equations in field theory

2002 ◽  
Vol 29 (12) ◽  
pp. 687-699 ◽  
Author(s):  
A. Echeverría-Enríquez ◽  
M. C. Muñoz-Lecanda ◽  
N. Román-Roy
Keyword(s):  
Field Theory ◽  
Classical Field ◽  
Field Theories ◽  
Geometrical Analysis ◽  
Field Equations ◽  
First Order ◽  
Nonuniqueness Of Solutions ◽  
Lagrangian And Hamiltonian Formalisms ◽  
Classical Field Theories ◽  
Geometric Formulation

We give a geometric formulation of the field equations in the Lagrangian and Hamiltonian formalisms of classical field theories (of first order) in terms of multivector fields. This formulation enables us to discuss the existence and nonuniqueness of solutions of these equations, as well as their integrability.

Vector-tensor field theories and the Einstein-Maxwell field equations

1974 ◽  
Vol 341 (1626) ◽  
pp. 285-297 ◽  
Keyword(s):  
Dimensional Space ◽  
Field Theories ◽  
Maxwell Field ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Lagrange Equations ◽  
Third Order ◽  
Metric Tensor ◽  
First Order ◽  
First Derivative

The Euler-Lagrange equations corresponding to a Lagrange density which is a function of the metric tensor g ij and its first two derivatives together with the first derivative of a vector field ψ i are investigated. In general, the Euler-Lagrange equations obtained by variation of g ij are of fourth order in g ij and third order in ψ i . It is shown that in a four dimensional space the only Euler-Lagrange equations which are of second order in g ij and first order in ψ i are the Einstein field equations (with an energy-momentum term). Various conditions are obtained under which the Einstein-Maxwell field equations are then an inevitable consequence.

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.

A note on the relativistic invariance of quantized field theories

1950 ◽  
Vol 46 (2) ◽  
pp. 316-318
Author(s):  
J. S. de Wet
Keyword(s):  
Present Author ◽  
Higher Order ◽  
Field Theories ◽  
Poisson Brackets ◽  
Relativistic Invariance ◽  
Field Equations ◽  
Commutation Relations ◽  
Generalized Poisson ◽  
Quantized Field

In an earlier paper (1), which will be referred to as A, the present author has demonstrated the relativistic invariance, for general transformations of coordinates, of the Einstein-Bose and Fermi-Dirac quantizations of linear field equations derived from higher order Lagrangians. The proof consisted of the identification of the commutation relations with the generalized Poisson brackets introduced by Weiss (2) and proving the invariance of the latter.

scholarly journals A general class of cut-off model field theories

1969 ◽  
Vol 15 (1) ◽  
pp. 47-68 ◽  
Author(s):  
Arthur M. Jaffe ◽  
Oscar E. Lanford ◽  
Arthur S. Wightman
Keyword(s):  
General Class ◽  
Field Theories ◽  
Model Field

scholarly journals T -model field equations: The general solution

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
Joan Josep Ferrando ◽  
Salvador Mengual
Keyword(s):  
General Solution ◽  
Field Equations ◽  
Model Field

scholarly journals PARTICLE SPECTRUM OF NON-ABELIAN TENSOR GAUGE FIELDS

2010 ◽  
Vol 25 (14) ◽  
pp. 1137-1161 ◽  
Author(s):  
GEORGE SAVVIDY
Keyword(s):  
Gauge Field ◽  
Free Field ◽  
Gauge Fields ◽  
Particle Spectrum ◽  
Field Equations ◽  
Abelian Gauge ◽  
Dimensional Spacetime ◽  
Higher Dimensional ◽  
Extended Field ◽  
Rank 2

We review the non-Abelian tensor gauge field theory and analyze its free field equations for lower rank gauge fields when the interaction coupling constant tends to zero. The free field equations are written in terms of the first-order derivatives of extended field strength tensors similar to the electrodynamics and non-Abelian gauge theories. We determine the particle content of the free field equations and count the propagating modes which they describe. In four-dimensional spacetime the rank-2 gauge field describes propagating modes of helicity two and zero. We show that the rank-3 gauge field describes propagating modes of helicity-three and a doublet of helicity-one gauge bosons. Only four-dimensional spacetime is physically acceptable, because in five- and higher-dimensional spacetime the equation has solutions with negative norm states. We discuss the structure of the particle spectrum for higher rank gauge fields.

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