scholarly journals ON FIELD THEORIES WITH AN INFINITE NUMBER OF FIELDS

1998 ◽  
Vol 13 (04) ◽  
pp. 625-634 ◽  
Author(s):  
N. ITZHAKI
Keyword(s):  
Perturbation Theory ◽  
Infinite Number ◽  
Dimensional Space ◽  
Space Time ◽  
Field Theories ◽  
Coupling Constant ◽  
Dimensional Space Time

A toy model with an infinite number of interacting fermions in four-dimensional space–time is analyzed. We find that the model is finite at any order in perturbation theory. However, perturbation theory is valid only for external momenta smaller than [Formula: see text], where λ is the coupling constant.

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.

scholarly journals Improved Perturbation Theory and Four-Dimensional Space-Time in the IIB Matrix Model

2003 ◽  
Vol 109 (1) ◽  
pp. 115-132 ◽  
Author(s):  
H. Kawai ◽  
S. Kawamoto ◽  
T. Kuroki ◽  
S. Shinohara
Keyword(s):  
Perturbation Theory ◽  
Matrix Model ◽  
Dimensional Space ◽  
Space Time ◽  
Dimensional Space Time

scholarly journals TRIGONOMETRIC S MATRICES, AFFINE TODA SOLITONS AND SUPERSYMMETRY

1998 ◽  
Vol 13 (26) ◽  
pp. 4553-4590 ◽  
Author(s):  
GEORG M. GANDENBERGER
Keyword(s):  
Bound States ◽  
Dimensional Space ◽  
Space Time ◽  
Field Theories ◽  
Two Dimensional ◽  
Pole Structure ◽  
Dimensional Space Time

Using [Formula: see text]- and [Formula: see text]-invariant R matrices we construct exact S matrices in two-dimensional space–time. These are conjectured to describe the scattering of solitons in affine Toda field theories. In order to find the spectrum of soliton bound states we examine the pole structure of these S matrices in detail. We also construct the S matrices for all scattering processes involving scalar bound states. In the last part of this paper we discuss the connection of these S matrices with minimal N=1 and N = 2 super-symmetric S matrices. In particular we comment on the folding from N = 2 to N = 1 theories.

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.

Electromagnetic Casimir effect of concentric cylinders in (D + 1)-dimensional space–time

2019 ◽  
Vol 34 (08) ◽  
pp. 1950035
Author(s):  
Chun Yong Chew ◽  
Yong Kheng Goh
Keyword(s):  
Boundary Condition ◽  
Interaction Energy ◽  
Casimir Effect ◽  
Dimensional Space ◽  
Order Term ◽  
Perturbation Technique ◽  
Space Time ◽  
Concentric Cylinders ◽  
Dimensional Minkowski Space ◽  
Dimensional Space Time

We study the electromagnetic Casimir interaction energy between two parallel concentric cylinders in [Formula: see text]-dimensional Minkowski space–time for different combinations of perfectly conducting boundary condition and infinitely permeable boundary condition. We consider two cases where one cylinder is outside each other and where one is inside the other. By solving the equation of motion and computing the TGTG formulas, explicit formulas for the Casimir interaction energy can be derived and asymptotic behavior of the Casimir interaction energy in the nanoregime is calculated by using perturbation technique. We computed the interaction energy analytically up to next-to-leading order term.

scholarly journals TRAVERSABLE WORMHOLES IN A STRING CLOUD

2008 ◽  
Vol 17 (08) ◽  
pp. 1179-1196 ◽  
Author(s):  
MARTÍN G. RICHARTE ◽  
CLAUDIO SIMEONE
Keyword(s):  
Thin Shell ◽  
Dimensional Space ◽  
Space Time ◽  
Exotic Matter ◽  
Spherically Symmetric ◽  
Related Model ◽  
Traversable Wormholes ◽  
Dimensional Space Time ◽  
Thin Shell Wormholes ◽  
The Stability

We study spherically symmetric thin shell wormholes in a string cloud background in (3 + 1)-dimensional space–time. The amount of exotic matter required for the construction, the traversability and the stability of such wormholes under radial perturbations are analyzed as functions of the parameters of the model. In addition, in the appendices a nonperturbative approach to the dynamics and a possible extension of the analysis to a related model are briefly discussed.

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