On Existence of Non-Renormalizable Field Theory: Pure SU(2) Lattice Gauge Theory in Five Dimensions
Author(s) -
H. Kawai,
M. Nio,
Yuko Okamoto
Publication year - 1992
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp/88.2.341
Subject(s) - physics , coupling constant , lattice field theory , lattice gauge theory , phase transition , gauge theory , lattice (music) , regularization (linguistics) , mathematical physics , theoretical physics , hamiltonian lattice gauge theory , quantum field theory , classification of discontinuities , yang–mills theory , quantum mechanics , artificial intelligence , computer science , acoustics , mathematical analysis , mathematics
We have examined whether a non-renormalizable field theory can have a non-trivial fixed point. As a simple example, SU(2) pure Yang-Mills theory in five dimensions is considered with a lattice regularization. Taking into account both fundamental and adjoint representations, we search for a non-trivial second-order phase transition by- Monte Carlo techniques. Along the phase boundary for deconfining phase transition, energy discontinuities of by hysteresis curves tend to diminish as the coupling constant for adjoint representation decreases to large negative values
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