Symmetry Breaking in Finite Volume
LIU Chuan
Department of Physics, Peking University, Beijing 100871
Symmetry Breaking in Finite Volume
LIU Chuan
Department of Physics, Peking University, Beijing 100871
关键词 ：
11.15.Ha ,
11.10.Ef ,
11.30.Qc
Abstract ： Spontaneous symmetry breaking is a cooperative phenomenon for systems with infinitely many degrees of freedom and it plays an essential role in quantum field theories. Lattice O(N) model is studied within the Hamiltonian approach using an adiabatic approximation. It is shown that the low-lying spectrum of the system in the broken phase can be understood by using the adiabatic, or Born-Oppenheimer approximation, which turns out to become an expansion in the inverse power of volume. In the infinite volume limit, the symmetry is broken while in the finite volume the slow rotation of the zero-momentum mode restores the symmetry and gives rise to the rotator spectrum, which has been observed in realistic Monte Carlo simulations.
Key words ：
11.15.Ha
11.10.Ef
11.30.Qc
出版日期: 2000-03-01
:
11.15.Ha
(Lattice gauge theory)
11.10.Ef
(Lagrangian and Hamiltonian approach)
11.30.Qc
(Spontaneous and radiative symmetry breaking)
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2000, Vol. 17 
