Year: 2003
Type: article
Abstract: Spontaneous symmetry breaking in noncommutative cutoff $\ensuremath{\lambda}{\ensuremath{\Phi}}^{4}$ theory has been analyzed by using the formalism of the effective action for composite operators in the Hartree-Fock approximation. It turns out that there is no phase transition to a constant vacuum expectation of the field and the broken phase corresponds to a nonuniform background. By considering $〈\ensuremath{\varphi}(x)〉=A\mathrm{cos}(\stackrel{\ensuremath{\rightarrow}}{Q}\ensuremath{\cdot}\stackrel{\ensuremath{\rightarrow}}{x})$ the generated mass gap depends on the angles among the momenta $\stackrel{\ensuremath{\rightarrow}}{k}$ and $\stackrel{\ensuremath{\rightarrow}}{Q}$ and the noncommutativity parameter $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\theta}}.$ The order of the transition is not easily determinable in our approximation.
Authors: Paolo Castorina, Dario Zappalà
Language: Latvian
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1990812470