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Another Perturbative Expansion in Nonabelian Gauge Theory

Izawa K. -i

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Abstract

We consider a new perturbation scheme in nonabelian gauge theory. Pure Yang-Mills theory in three dimensions is taken as a concrete example. The zerothorder in the perturbative expansion is given by BF theory coupled to a Stückelberglike field. The effective coupling for the expansion can be small in the infrared regime, which implies that nonperturbative treatment of Yang-Mills theory may Perturbation theory has been successful in quantum field theory when the effective coupling is small in the energy region considered: two main examples are provided by electroweak theory in the accessible energy range and quantum chromodynamics (QCD) in the regime of deep inelastic scattering. However, naive

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What this paper is about

We consider a new perturbation scheme in nonabelian gauge theory. Pure Yang-Mills theory in three dimensions is taken as a concrete example. The zerothorder in the perturbative expansion is given by BF theory coupled to a Stückelberglike field. The effective coupling for the expansion can be small in the infrared regime, which implies that nonperturbative treatment of Yang-Mills theory may Perturbation theory has been successful in quantum field theory when the effective coupling is small in the energy region considered: two main examples are provided by electroweak theory in the accessible energy range and quantum chromodynamics (QCD) in the regime of deep inelastic scattering. However, naive

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Available abstract

We consider a new perturbation scheme in nonabelian gauge theory. Pure Yang-Mills theory in three dimensions is taken as a concrete example. The zerothorder in the perturbative expansion is given by BF theory coupled to a Stückelberglike field. The effective coupling for the expansion can be small in the infrared regime, which implies that nonperturbative treatment of Yang-Mills theory may Perturbation theory has been successful in quantum field theory when the effective coupling is small in the energy region considered: two main examples are provided by electroweak theory in the accessible energy range and quantum chromodynamics (QCD) in the regime of deep inelastic scattering. However, naive

Key concepts: Physics, Perturbation theory (quantum mechanics), Yang–Mills theory, Gauge theory, Mathematical physics, Introduction to gauge theory, Quantum electrodynamics, Coupling constant

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