Scalar field theory and exact solutions to a classical SU (2) gauge theory

1977 ◽  
Vol 67 (1) ◽  
pp. 69-71 ◽  
Author(s):  
E. Corrigan ◽  
D.B. Fairlie
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Scalar Field ◽  
Exact Solutions ◽  
Scalar Field Theory

scholarly journals ON NONCOMMUTATIVE SOLITONS

2000 ◽  
Vol 15 (36) ◽  
pp. 2205-2218 ◽  
Author(s):  
A. SOLOVYOV
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Exact Solutions ◽  
Physical Meaning ◽  
Symmetric Solution ◽  
Numerical Results ◽  
Scalar Field Theory ◽  
Radially Symmetric Solution

We consider (2+1)-dimensional classical noncommutative scalar field theory. The general ansatz for a radially symmetric solution is obtained. Some exact solutions are presented. Their possible physical meaning is discussed. The case of finite θ is discussed qualitatively and illustrated by some numerical results.

scholarly journals Properties of the Corolla Polynomial of a 3-regular Graph

10.37236/2633 ◽  
2013 ◽  
Vol 20 (1) ◽  
Author(s):  
Dirk Kreimer ◽  
Karen Yeats
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Scalar Field ◽  
Regular Graph ◽  
Scalar Field Theory ◽  
Combinatorial Properties ◽  
Graph Polynomial ◽  
Feynman Rules

We investigate combinatorial properties of a graph polynomial indexed by half-edges of a graph which was introduced recently to understand the connection between Feynman rules for scalar field theory and Feynman rules for gauge theory. We investigate the new graph polynomial as a stand-alone object.

scholarly journals Scalar field theory limits of bosonic string amplitudes

2000 ◽  
Vol 579 (1-2) ◽  
pp. 379-410 ◽  
Author(s):  
Alberto Frizzo ◽  
Lorenzo Magnea ◽  
Rodolfo Russo
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Bosonic String ◽  
Scalar Field Theory ◽  
String Amplitudes

On causality in polymer scalar field theory

2011 ◽  
Author(s):  
Angel A. García-Chung ◽  
Hugo A. Morales-Técotl ◽  
Luis Arturo Ureña-López ◽  
Hugo Aurelio Morales-Técotl ◽  
Román Linares-Romero ◽  
...  
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Field Theory

scholarly journals ASYMPTOTIC FREEDOM IN A SCALAR FIELD THEORY ON THE LATTICE

1998 ◽  
Vol 13 (31) ◽  
pp. 2495-2501 ◽  
Author(s):  
KURT LANGFELD ◽  
HUGO REINHARDT
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Particle ◽  
Higgs Sector ◽  
Asymptotic Freedom ◽  
Scalar Field Theory ◽  
Large N ◽  
The Standard Model ◽  
Conceptual Problems ◽  
The Continuum

A scalar field theory in four space–time dimensions is proposed, which embodies a scalar condensate, but is free of the conceptual problems of standard ϕ4-theory. We propose an N-component, O(N)-symmetric scalar field theory, which is originally defined on the lattice. The scalar lattice model is analytically solved in the large-N limit. The continuum limit is approached via an asymptotically free scaling. The renormalized theory evades triviality, and furthermore gives rise to a dynamically formed mass of the scalar particle. The model might serve as an alternative to the Higgs sector of the standard model, where the quantum level of the standard ϕ4-theory contradicts phenomenology due to triviality.

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