Cluster expansion approach to the effective potential in Φ 2+1 4 -theory
We apply a truncated set of dynamical equations of motion for connected equal-time Green functions up to the 4-point level to the investigation of spontaneous ground state symmetry breaking in Φ 2+1 4 quantum field theory. Within our momentum space discretization we obtain a second order phase transition as soon as the connected 3-point function is included. However, an additional inclusion of the connected 4-point function still shows a significant influence on the shape of the effective potential and the critical coupling.
KeywordsGreen Function Effective Potential Order Phase Transition Cluster Expansion Critical Coupling
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