Nonperturbative Study of Non-Commutative U(1) Gauge Theory(Field theory, Lattice and Noncommutative space,NONCOMMUTATIVE GEOMETRY AND QUANTUM SPACETIME IN PHYSICS)
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概要
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We study U(1) gauge theory on a 4d non-commutative torus, where two directions are non-commutative. Monte Carlo simulations are performed after mapping the regularized theory onto a U(N) lattice gauge theory in d=2. At intermediate coupling strength, we find a phase in which open Wilson lines acquire non-zero vacuum expectation values, which implies the spontaneous breakdown of translational invariance. In this phase, various physical quantities obey clear scaling behaviors in the continuum limit with a fixed non-commutativity parameter θ, which provides evidence for a possible continuum theory. In the weak coupling symmetric phase, the dispersion relation involves a negative IR-singular term, which is responsible for the observed phase transition.
- 理論物理学刊行会の論文
- 2008-03-07
著者
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NISHIMURA Jun
High Energy Accelerator Research Organization (KEK)
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Nishimura Jun
High Energy Accelerator Research Organization (kek):department Of Particle And Nuclear Physics Gradu
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NISHIMURA Jun
KEK Theory Center, High Energy Accelerator Research Organization:The Graduate University for Advanced Studies (SOKENDAI)
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NISHIMURA Jun
High Energy Accelerator Research Organization (KEK):Department of Particle and Nuclear Physics, Graduate University for Advanced Studies (SOKENDAI)
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