scholarly journals Perturbative Gravity and Gauge Theory Relations: A Review

2012 ◽  
Vol 2012 ◽  
pp. 1-29 ◽  
Author(s):  
Thomas Søndergaard
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
String Theory ◽  
Gauge Theories ◽  
Point Of View ◽  
Tree Level ◽  
General Properties ◽  
Recent Developments ◽  
Theory Point

This paper is dedicated to the amazing Kawai-Lewellen-Tye relations, connecting perturbative gravity and gauge theories at tree level. The main focus is onn-point derivations and general properties both from a string theory and pure field theory point of view. In particular, the field theory part is based on some very recent developments.

scholarly journals META-STABLE BRANE CONFIGURATIONS WITH MULTIPLE NS5-BRANES

2009 ◽  
Vol 24 (27) ◽  
pp. 5051-5120
Author(s):  
CHANGHYUN AHN
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Gauge Group ◽  
Gauge Theories ◽  
The Other ◽  
Multiple Product

Starting from an [Formula: see text] supersymmetric electric gauge theory with the multiple product gauge group and the bifundamentals, we apply Seiberg dual to each gauge group, obtain the [Formula: see text] supersymmetric dual magnetic gauge theories with dual matters including the gauge singlets. Then we describe the intersecting brane configurations, where there are NS-branes and D4-branes (and anti-D4-branes), of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory. We also discuss the case where the orientifold 4-planes are added into the above brane configuration. Next, by adding an orientifold 6-plane, we apply to an [Formula: see text] supersymmetric electric gauge theory with the multiple product gauge group (where a single symplectic or orthogonal gauge group is present) and the bifundamentals. Finally, we describe the other cases where the orientifold 6-plane intersects with NS-brane.

scholarly journals GRIBOV PROBLEM FOR GAUGE THEORIES: A PEDAGOGICAL INTRODUCTION

2004 ◽  
Vol 01 (04) ◽  
pp. 423-441 ◽  
Author(s):  
GIAMPIERO ESPOSITO ◽  
DIEGO N. PELLICCIA ◽  
FRANCESCO ZACCARIA
Keyword(s):  
Cross Sections ◽  
Gauge Theories ◽  
Functional Integral ◽  
Point Of View ◽  
Spherically Symmetric ◽  
Abelian Gauge ◽  
Gauge Transformations ◽  
Recent Developments ◽  
Gribov Ambiguity ◽  
Gribov Copies

The functional-integral quantization of non-Abelian gauge theories is affected by the Gribov problem at non-perturbative level: the requirement of preserving the supplementary conditions under gauge transformations leads to a nonlinear differential equation, and the various solutions of such a nonlinear equation represent different gauge configurations known as Gribov copies. Their occurrence (lack of global cross-sections from the point of view of differential geometry) is called Gribov ambiguity, and is here presented within the framework of a global approach to quantum field theory. We first give a simple (standard) example for the SU(2) group and spherically symmetric potentials, then we discuss this phenomenon in general relativity, and recent developments, including lattice calculations.

scholarly journals A TORSIONAL TOPOLOGICAL INVARIANT

2007 ◽  
Vol 22 (29) ◽  
pp. 5237-5244 ◽  
Author(s):  
H. T. NIEH
Keyword(s):  
Affine Connection ◽  
Euler Class ◽  
Christoffel Symbol ◽  
Space Time ◽  
Topological Invariant ◽  
Point Of View ◽  
Underlying Space ◽  
Recent Developments ◽  
Theory Point ◽  
Curvature And Torsion

Curvature and torsion are the two tensors characterizing a general Riemannian space–time. In Einstein's general theory of gravitation, with torsion postulated to vanish and the affine connection identified to the Christoffel symbol, only the curvature tensor plays the central role. For such a purely metric geometry, two well-known topological invariants, namely the Euler class and the Pontryagin class, are useful in characterizing the topological properties of the space–time. From a gauge theory point of view, and especially in the presence of spin, torsion naturally comes into play, and the underlying space–time is no longer purely metric. We describe a torsional topological invariant, discovered in 1982, that has now found increasing usefulness in recent developments.

scholarly journals OPEN-CLOSED DUALITY: LESSONS FROM MATRIX MODEL

2004 ◽  
Vol 19 (11) ◽  
pp. 841-853 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Matrix Model ◽  
String Field Theory ◽  
Classical Result ◽  
Open String ◽  
Closed String ◽  
Tree Level ◽  
Two Dimensional

Recent investigations involving the decay of unstable D-branes in string theory suggest that the tree level open string theory which describes the dynamics of the D-brane already knows about the closed string states produced in the decay of the brane. We propose a specific conjecture involving quantum open string field theory to explain this classical result, and show that the recent results in two-dimensional string theory are in exact accordance with this conjecture.

scholarly journals Equipment Maintenance Support Analysis Model Based on Field-Theory

2013 ◽  
Vol 347-350 ◽  
pp. 2721-2724
Author(s):  
Wei Yi Wu ◽  
Ping Gu ◽  
Jie Liu ◽  
Bin Liu
Keyword(s):  
Field Theory ◽  
Point Of View ◽  
Application Research ◽  
Analysis Model ◽  
Support Element ◽  
Theory Point ◽  
Angle Of View ◽  
New Research ◽  
Tremendous Challenge ◽  
Support Activity

At present military activities have been influenced deeply by the information revolution, in the same way the equipment support activities are confronted with tremendous challenge and many problems appeared. The equipment support ability is not satisfied with its target in the traditional method along with in-depth research, so needed to quest for a new research angle of view. Through the investigation of electric-particles' movement in physics field, a field-theory point of view from the comparability between the electric-particles and the equipment support elements is introduced which based on spatial distributing of equipment support elements around battlefield and characteristic of support activities. Moreover, the theory and method of the field-theory in the transfer of the support element and energy in support activity is described as the basic for the next application research. The appropriate combination between the natural science and military science has the important meaning for enrichment and development of equipment support theory.

CONSIDERATIONS ON A MESON-ATOMIC MODEL OF THE NUCLEON

1960 ◽  
Vol 38 (10) ◽  
pp. 1245-1255
Author(s):  
L. E. H. Trainor
Keyword(s):  
Field Theory ◽  
Short Range ◽  
Body Problem ◽  
Point Of View ◽  
Atomic Model ◽  
Meson Field ◽  
Many Body ◽  
Screening Effect ◽  
Theory Point ◽  
Insight Into

A model of the nucleon is described in which a π-meson moves about a nucleon core under the action of a hyper-Maxwell field. On such a model, the short range of the internucleon force appears as a screening effect. Despite its obvious limitations, the model does possess some interesting features which lead to results in agreement with experiment. The advantage to such models is that they may provide insight into problems which are enormously difficult from the usual field theory point of view. In particular, one might hope to obtain some understanding of the state of the π -meson field in the nuclear many-body problem.

scholarly journals Origin of Gauge Theories in Electrodynamics

2021 ◽  
Author(s):  
Jay Solanki
Keyword(s):  
Field Theory ◽  
Electromagnetic Field ◽  
Gauge Theory ◽  
Gauge Invariance ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Gauge Theories ◽  
Degree Of Freedom ◽  
Potential Formulation ◽  
Electromagnetic Field Theory

<div>The potential formulation has significant advantages over field formulation in solving complicated problems in electromagnetic field theory. One essential part of electromagnetic field theory's potential formulation is gauge invariance and gauge theories because it provides an extra degree of freedom. By using this extra degree of freedom, we can solve complicated electromagnetic problems quickly. Thus, it is necessary to include a systematic explanation of gauge theories in teaching electromagnetic theory. However, textbooks usually formulate gauge theories by using Maxwell's equations of electromagnetism, by using vector calculus identities. However, this method of formulation of gauge theories does not give a clear idea about the origin of gauge theories and gauge invariance in electromagnetism. Here the author formulates gauge theories from wave equations of the electric and magnetic fields instead of directly using Maxwell's equations. This method generalizes all gauge theories like Lorenz gauge theory, Coulomb gauge theory, Etc. Gauge theory, because of the way the author derives it, gives a distinct idea about the mathematical origin of the gauge theories and gauge invariance in electromagnetic field theory. Thus, the author reviews the origin of gauge theories in electromagnetic field theory and develops a distinct and effective method to introduce gauge theory in the teaching of electromagnetic field theory that can provide better understanding of the topic to undergraduate students.</div><div><br></div>

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