| Original Articles |
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Symmetry Breaking in Finite Volume |
| LIU Chuan |
| Department of Physics, Peking University, Beijing 100871 |
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| Cite this article: |
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LIU Chuan 2000 Chin. Phys. Lett. 17 180-181 |
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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.
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| Keywords:
11.15.Ha
11.10.Ef
11.30.Qc
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Published: 01 March 2000
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| PACS: |
11.15.Ha
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(Lattice gauge theory)
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11.10.Ef
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(Lagrangian and Hamiltonian approach)
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11.30.Qc
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(Spontaneous and radiative symmetry breaking)
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