Random source induced spontaneous symmetry breaking in scalar field theories |
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| Authors: | A Niemi LCR Wijewardhana |
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| Institution: | Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, USA |
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| Abstract: | We study the effective potential for scalar field theories in the presence of gaussian random sources, coupled to the scalar field in a self-consistent way. We compute the effective potential both in the loop and in the 1/N expansions and find various instabilities. The only feasible instabilities are the ones induced by (formally) imaginary random sources. The pertinent phase transition is a first-order transition. |
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