scholarly journals Taking off the square root of Nambu–Goto action and obtaining Filippov–Lie algebra gauge theory action

2009 ◽  
Vol 64 (1) ◽  
Author(s):  
Jeong-Hyuck Park ◽  
Corneliu Sochichiu
Keyword(s):  
Gauge Theory ◽  
Lie Algebra ◽  
Square Root ◽  
Goto Action

ANOMALOUS GAUSS LAW ALGEBRAS

1989 ◽  
Vol 04 (17) ◽  
pp. 4581-4591 ◽  
Author(s):  
R. FLOREANINI ◽  
R. PERCACCI
Keyword(s):  
Gauge Theory ◽  
Lie Algebra ◽  
Gauge Transformations ◽  
Four Dimensions ◽  
Abelian Extensions ◽  
Closed Algebra

Supplementing the Gauss law operator of an anomalous gauge theory with a certain set of functionals of the gauge potentials, one obtains a closed algebra. The algebras obtained in this way are Abelian extensions of the Lie algebra of the group of gauge transformations, and are natural generalizations of Kac-Moody algebras, both in two and four dimensions.

FLUX TUBE SOLUTIONS IN SQUARE ROOT GAUGE THEORY

2000 ◽  
Vol 15 (28) ◽  
pp. 4407-4415 ◽  
Author(s):  
N. AMER ◽  
E. I. GUENDELMAN
Keyword(s):  
Gauge Theory ◽  
Flux Tube ◽  
Magnetic Monopole ◽  
Square Root ◽  
Radiation Process ◽  
Flux Tubes ◽  
Magnetic Components ◽  
Monopole Solution ◽  
Electric Flux ◽  
Oppositely Charged

Flux tube solutions are found in the square root gauge theory. Purely magnetic solutions exist which do not contain radiation. It is found that no electric monopole solution exists, which is a sign of electric charge confinement, but magnetic monopole solutions exist and therefore there is no confinement of magnetic charge. There are also solutions which have both electric and magnetic components and represent flux tubes where in addition some radiation process, caused for example by some annihilation in the center of the tube takes place. Finally, there are solutions with both electric and magnetic field which do not represent radiation but rather electric flux tubes, which are good candidates for describing confinement of oppositely charged sources. Demanding angular momentum quantization leads to the quantization of the length of these tubes.

scholarly journals Nambu-Goto Strings viaWeierstrass Representation

2017 ◽  
Vol 13 (4) ◽  
pp. 4985-4992
Author(s):  
Mahmoud Kotb
Keyword(s):  
Gauge Theory ◽  
Physical Properties ◽  
Minimal Surface ◽  
Minimal Surfaces ◽  
String Model ◽  
Gauss Curvature ◽  
Weierstrass Representation ◽  
Perturbative Solution ◽  
Goto Action

A description of string model of gauge theory are related to minimal surfaces. notations of minimal surface and related mean and Gauss curvature discussed. The Weierstrass representation for a surface conformally which immersed in R used to represent Nambu- Goto action, action of Nambu Goto is calculated usingWeierstrass representation which can be used to calculate the Partion Function and potential, then a non-perturbative solution for action is aimed and fulfilled and a consequences of that are investigated and its mathematical and physical properties are discussed.

scholarly journals SOLITONIC ASPECTS OF q-FIELD THEORIES

2003 ◽  
Vol 18 (04) ◽  
pp. 627-650 ◽  
Author(s):  
R. J. FINKELSTEIN
Keyword(s):  
Gauge Theory ◽  
Lie Algebra ◽  
Lie Group ◽  
Degrees Of Freedom ◽  
Field Theories ◽  
Standard Theory ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Point Particles ◽  
Non Locality

We have examined the deformation of a generic non-Abelian gauge theory obtained by replacing its Lie group by the corresponding quantum group. This deformed gauge theory has more degrees of freedom than the theory from which it is derived. By going over from point particles in the standard theory to solitonic particles in the deformed theory, it is proposed that we interpret the new degrees of freedom as being descriptive of the non-locality of the deformed theory. It also turns out that the original Lie algebra gets replaced by two dual algebras, one of which lies close to and approaches the original Lie algebra in a correspondence limit, while the second algebra is new and disappears in this same correspondence limit. The exotic field particles associated with the second algebra can be interpreted as quark-like constituents of the solitons, which are themselves described as point particles in the first algebra. These ideas are explored for q-deformed SU(2) and GL q(3).

scholarly journals The affine structure of gravitational theories: Symplectic groups and geometry

2014 ◽  
Vol 11 (10) ◽  
pp. 1450081 ◽  
Author(s):  
Salvatore Capozziello ◽  
D. J. Cirilo-Lombardo ◽  
Mariafelicia De Laurentis
Keyword(s):  
Gauge Theory ◽  
Lie Algebra ◽  
Symplectic Groups ◽  
Affine Structure ◽  
Nonlinear Realization ◽  
Simple Version ◽  
Partial Isomorphism ◽  
Gravitational Theories ◽  
Matter Fields ◽  
Bundle Structure

We give a geometrical description of gravitational theories from the viewpoint of symmetries and affine structure. We show how gravity, considered as a gauge theory, can be consistently achieved by the nonlinear realization of the conformal-affine group in an indirect manner: due to the partial isomorphism between CA(3, 1) and the centrally extended Sp( 8), we perform a nonlinear realization of the centrally extended ( CE )Sp( 8) in its semi-simple version. In particular, starting from the bundle structure of gravity, we derive the conformal-affine Lie algebra and then, by the nonlinear realization, we define the coset field transformations, the Cartan forms and the inverse Higgs constraints. Finally, we discuss the geometrical Lagrangians where all the information on matter fields and their interactions can be contained.

Properties of covariant W gravity

1991 ◽  
Vol 06 (16) ◽  
pp. 2891-2912 ◽  
Author(s):  
K. Schoutens ◽  
A. Sevrin ◽  
P. van Nieuwenhuizen
Keyword(s):  
Gauge Theory ◽  
Lie Algebra ◽  
Covariant Derivative ◽  
Integrability Condition ◽  
Two Dimensions ◽  
Gauge Fields ◽  
Present Treatment ◽  
Gauge Sector ◽  
Invariant Action

We present the beginnings of a new consistent gauge theory with spin 2 and spin 3 gauge fields in two dimensions. It is based on a nonlinear Lie algebra, whose “gauging” is discussed in detail. (The present treatment of the gauge sector is expanded as compared to [3]). For the coupling to matter, we introduce the concept of a “nested covariant derivative”, and we obtain an invariant action by solving a functional integrability condition. It reads

scholarly journals GENERALIZED GAUGE THEORIES AND THE WEINBERG–SALAM MODEL WITH DIRAC–KÄHLER FERMIONS

2001 ◽  
Vol 16 (23) ◽  
pp. 3867-3895 ◽  
Author(s):  
NOBORU KAWAMOTO ◽  
HIROSHI UMETSU ◽  
TAKUYA TSUKIOKA
Keyword(s):  
Gauge Theory ◽  
Lie Algebra ◽  
Noncommutative Geometry ◽  
Gauge Theories ◽  
Differential Forms ◽  
Gauge Fields ◽  
Present Formulation ◽  
Yang Mills ◽  
Graded Lie Algebra ◽  
Chern Simons

We extend the previously proposed generalized gauge theory formulation of the Chern–Simons type and topological Yang–Mills type actions into Yang–Mills type actions. We formulate gauge fields and Dirac–Kähler matter fermions by all degrees of differential forms. The simplest version of the model which includes only zero and one-form gauge fields accommodated with the graded Lie algebra of SU (2|1) supergroup leads the Weinberg–Salam model. Thus the Weinberg–Salam model formulated by noncommutative geometry is a particular example of the present formulation.

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