Acta Physica Polonica B

Vol. 34, No. 10, October 2003, page 4727


Generalized Complex |\psi |4 Model

Elmar Bittner, Wolfhard Janke

We study the complex |\psi |4 theory in three dimensions and compare our numerical results with a recently proposed mean-field like approximation. The mean-field result, which predicts a first-order phase transition in parts of the phase diagram, cannot be confirmed. To get a closer look inside this discrepancy, we introduce a generalized Hamiltonian with an additional fugacity term. With this modification we can show that the complex |\psi |4 theory can indeed be tuned to undergo a first-order phase transition by varying the strength of the new term in the generalized Hamiltonian.

PACS numbers: 02.70.Lq, 64.60.--i, 74.20.De


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