Rank-n antisymmetric tensor gauge fields in 2n-dimensional space-time and mass generation mechanism

1983 ◽  
Vol 126 (3-4) ◽  
pp. 189-192 ◽  
Author(s):  
H. Aratyn
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Generation Mechanism ◽  
Antisymmetric Tensor ◽  
Gauge Fields ◽  
Mass Generation ◽  
Dimensional Space Time

scholarly journals INTERACTING OPEN p-BRANES

1995 ◽  
Vol 10 (32) ◽  
pp. 4671-4679 ◽  
Author(s):  
SUMIO ISHIKAWA ◽  
YASUHIRO IWAMA ◽  
TADASHI MIYAZAKI ◽  
MOTOWO YAMANOBE
Keyword(s):  
Dimensional Space ◽  
Boundary Surface ◽  
Space Time ◽  
Gauge Fields ◽  
Dimensional Space Time ◽  
Action At A Distance

The Kalb-Ramond action, derived for interacting strings through an action-at-a-distance force, is generalized to the case of interacting p-dimensional objects (p-branes) in D- dimensional space-time. The openp-brane version of the theory is especially taken up. On account of the existence of their boundary surface, the fields mediating interactions between open p-branes are obtained as massive gauge fields, quite in contrast to massless gauge ones for closedp-branes.

scholarly journals OBTAINING A LIGHT-LIKE PLANAR GAUGE

2002 ◽  
Vol 17 (04) ◽  
pp. 205-208 ◽  
Author(s):  
ALFREDO T. SUZUKI ◽  
RICARDO BENTÍN
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Current Understanding ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Lorentz Covariance ◽  
Gauge Fixing ◽  
Dimensional Space Time

In the usual and current understanding of planar gauge choices for Abelian and non-Abelian gauge fields, the external defining vector nμ can either be space-like (n2 < 0) or time-like (n2>0) but not light-like (n2=0). In this work we propose a light-like planar gauge that consists of defining a modified gauge-fixing term, ℒ GF , whose main characteristic is a two-degree violation of Lorentz covariance arising from the fact that four-dimensional space–time spanned entirely by null vectors as basis necessitates two light-like vectors, namely nμ and its dual mμ, with n2=m2=0, n·m≠0, say, e.g. normalized to n·m=2.

LOCALIZATION OF NONLOCAL LAGRANGIANS AND MASS GENERATION FOR NON-ABELIAN GAUGE FIELDS

2008 ◽  
Vol 23 (26) ◽  
pp. 4289-4313
Author(s):  
ALEXEY SEVOSTYANOV
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Gauge Fields ◽  
Green Functions ◽  
Coupling Constant ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Yang Mills ◽  
Dimensional Space Time ◽  
Three Dimensional Space

We introduce and study the four-dimensional analogue of a mass generation mechanism for non-Abelian gauge fields suggested in the paper, Phys. Lett. B403, 297 (1997), in the case of three-dimensional space–time. The construction of the corresponding quantized theory is based on the fact that some nonlocal actions may generate local expressions for Green functions. An example of such a theory is the ordinary Yang–Mills field where the contribution of the Faddeev–Popov determinant to the Green functions can be made local by introducing additional ghost fields. We show that the quantized Hamiltonian for our theory unitarily acts in a Hilbert space of states and prove that the theory is renormalizable to all orders of perturbation theory. One-loop coupling constant and mass renormalizations are also calculated.

Topology knots and hierarchy problem

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Dimensional Space ◽  
Space Time ◽  
Elementary Particles ◽  
Hierarchy Problem ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
New Formula

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.

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