Infrared analysis of quantum field theories

Abstract

We show that for a $\lambda {\varphi }^4$ theory having many components, the solution with all equal components in the infrared regime is stable with respect to our expansion given by a recently devised approach to analyze strongly coupled quantum field theory. The analysis is extended to a pure Yang-Mills theory showing how, in this case, the given asymptotic series exists. In this way, many components theories in the infrared regime can be mapped to a single component scalar field theory obtaining their spectrum.

5 pages, no figure. Accepted for publication in International Journal of Modern Physics A

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• Mass and width of the lowest resonance in QCD
• Confining strings in SU(N) gauge theories
• Positivity violation for the lattice Landau gluon propagator
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Cited by in corpus (7)

• Infrared Gluon and Ghost Propagators
• Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case
• Green Function Method for Nonlinear Systems
• Infrared QCD
• Spectrum in the broken phase of a $\lambda {\varphi }^4$ theory
• Dual Lindstedt series and KAM theorem
• Screening masses in quenched (2+1)d Yang-Mills theory: universality from dynamics?