scholarly journals SUPERSYMMETRIC STRING WAVES

1994 ◽  
Vol 03 (01) ◽  
pp. 149-152
Author(s):  
ERIC BERGSHOEFF
Keyword(s):  
Plane Wave ◽  
Effective Action ◽  
Space Time ◽  
Gauge Fields ◽  
Wave Type ◽  
Axion Field ◽  
String Corrections ◽  
Crucial Property

We present plane-wave-type solutions to the superstring effective action which have unbroken space-time supersymmetries. They describe dilaton, axion and gauge fields in a generalization of the Brinkmann metric. A crucial property of the solutions is a conspiracy between the metric and the axion field. Furthermore, due to a relation between the geometry and the gauge fields, the α′ string corrections to the effective on-shell action and to the solutions themselves vanish. We call these solutions supersymmetric string waves.

scholarly journals ELECTRODYNAMICS IN THE PRESENCE OF AN AXION

1992 ◽  
Vol 07 (14) ◽  
pp. 1253-1262 ◽  
Author(s):  
C. CORIANÒ
Keyword(s):  
Asymptotic Expansion ◽  
Gauge Field ◽  
Effective Action ◽  
Short Distance ◽  
Singular Part ◽  
Low Energy ◽  
Gauge Fields ◽  
Energy Limit ◽  
Axion Field ◽  
Distance Propagation

The low energy limit of an axion field coupled to gauge fields is investigated through the behavior of the gauge fields propagator in a local vacuum angle background. The local (singular) part of the effective action for the axion field is calculated at one-loop level. In the case of a time-like, linearly growing axion field, representing a massive axion, we give an asymptotic expansion of the causal propagator and we solve nonlocally for the first coefficient. We show that, for a generic axionic background, short distance propagation of the gauge field is well defined.

Space–time analogy for partially coherent plane-wave-type pulses

2005 ◽  
Vol 30 (22) ◽  
pp. 2973 ◽  
Author(s):  
Jesús Lancis ◽  
Víctor Torres-Company ◽  
Enrique Silvestre ◽  
Pedro Andrés
Keyword(s):  
Plane Wave ◽  
Space Time ◽  
Wave Type ◽  
Partially Coherent ◽  
Time Analogy

Errors incurred in a plane-wave-type expansion of a Gaussian beam

1980 ◽  
Vol 19 (2) ◽  
pp. 194 ◽  
Author(s):  
George W. Kattawar
Keyword(s):  
Plane Wave ◽  
Gaussian Beam ◽  
Wave Type

MANIFOLD-SPLITTING REGULARIZATION, SELF-LINKING, TWISTING, WRITHING NUMBERS OF SPACE-TIME RIBBONS and POLYAKOV’S PROOF OF FERMI-BOSE TRANSMUTATIONS

1988 ◽  
Vol 03 (08) ◽  
pp. 1959-1979 ◽  
Author(s):  
CHIA-HSIUNG TZE
Keyword(s):  
Integral Formula ◽  
Space Time ◽  
Gauge Fields ◽  
Alternative Formulation ◽  
Complex Numbers ◽  
Closed Space ◽  
Feynman Path ◽  
Higher Dimensional ◽  
Linking Coefficient ◽  
In Memoriam

We present an alternative formulation of Polyakov’s regularization of Gauss’ integral formula for a single closed Feynman path. A key element in his proof of the D=3 fermi-bose transmutations induced by topological gauge fields, this regularization is linked here with the existence and properties of a nontrivial topological invariant for a closed space ribbon. This self-linking coefficient, an integer, is the sum of two differential characteristics of the ribbon, its twisting and writhing numbers. These invariants form the basis for a physical interpretation of our regularization. Their connection to Polyakov’s spinorization is discussed. We further generalize our construction to the self-linking, twisting and writhing of higher dimensional d=n (odd) submanifolds in D=(2n+1) space-time. Our comprehensive analysis intends to supplement Polyakov’s work as it identifies a natural path to its higher dimensional mathematical and physical generalizations. Combining the theorems of White on self-linking of manifolds and of Adams on nontrivial Hopf fibre bundles and the four composition-division algebras, we argue that besides Polyakov’s case where (d, D)=(1, 3) tied to complex numbers, the potentially interesting extensions are two chiral models with (d, D)=(3, 7) and (7, 15) uniquely linked to quaternions and octonions. In Memoriam Richard P. Feynman

scholarly journals EXTENSION OF THE POINCARÉ GROUP AND NON-ABELIAN TENSOR GAUGE FIELDS

2010 ◽  
Vol 25 (31) ◽  
pp. 5765-5785 ◽  
Author(s):  
GEORGE SAVVIDY
Keyword(s):  
Gauge Group ◽  
Gauge Transformation ◽  
Space Time ◽  
Gauge Fields ◽  
Poincaré Group ◽  
Matrix Representations ◽  
Poincare Group ◽  
Yang Mills ◽  
The Matrix ◽  
Transversal Plane

In the recently proposed generalization of the Yang–Mills theory, the group of gauge transformation gets essentially enlarged. This enlargement involves a mixture of the internal and space–time symmetries. The resulting group is an extension of the Poincaré group with infinitely many generators which carry internal and space–time indices. The matrix representations of the extended Poincaré generators are expressible in terms of Pauli–Lubanski vector in one case and in terms of its invariant derivative in another. In the later case the generators of the gauge group are transversal to the momentum and are projecting the non-Abelian tensor gauge fields into the transversal plane, keeping only their positively definite spacelike components.

scholarly journals About renormalized effective action for the Yang-Mills theory in four-dimensional space-time

2018 ◽  
Vol 191 ◽  
pp. 06001
Author(s):  
A.V. Ivanov
Keyword(s):  
Infinite Series ◽  
Effective Action ◽  
Dimensional Space ◽  
Space Time ◽  
Coupling Constant ◽  
Asymptotic Approach ◽  
Yang Mills ◽  
Dimensional Space Time ◽  
Bare Coupling Constant ◽  
Renormalization Theory

This work is related to the asymptotic approach in the renormalization theory and its problems. As the main example, the Yang-Mills theory in four-dimensional space-time is considered. It has been shown earlier [16] that using the asymptotic of the bare coupling constant one can find an expression for the renormalized effective action, however, this formula has problems (divergence ln " and infinite series). This work shows the relation of these values and provides an answer for the renormalized effective action.

Effective Action of Composite Fields in Curved Space—time

2017 ◽  
pp. 217-244
Author(s):  
I. L. Buchbinder ◽  
S. D. Odintsov ◽  
I. L. Shapiro
Keyword(s):  
Effective Action ◽  
Space Time ◽  
Curved Space

scholarly journals A Variety of Explicit Exact and Soliton Type Solutions of Conformable Fractional Equal-Width Equations

2018 ◽  
Author(s):  
Alper Korkmaz ◽  
Asim Zafar ◽  
Hadi Rezazadeh
Keyword(s):  
Fluid Dynamics ◽  
Surface Waves ◽  
Space Time ◽  
Function Approach ◽  
Hyperbolic Function ◽  
Trigonometric Functions ◽  
Conformable Derivative ◽  
Wave Type

Exact and soliton type solutions have great importance in propagation of surface waves, fluid dynamics, optics, and many other elds of nonlinear sciences. In this study, the explicit and exact soliton type solutions for two space-time fractional Equal- Width (FEW) equations with conformable derivative are procured via the hyperbolic function approach. The wave type solutions are represented in some hyperbolic and trigonometric functions.

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