ISSN:
1434-601X
Keywords:
11.30.Qc
;
11.90.+t
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Using the cluster expansions for n-point Green functions we derive a closed set of dynamical equations of motion for connected equal-time Green functions by neglecting all connected functions higher than 4 th order for theλΦ 4-theory in 1 + 1 dimensions. We apply the equations to the investigation of spontaneous symmetry breaking, i.e. to the evaluation of the effective potential at temperatureT=0. Within our momentum space discretization we obtain a second order phase transition (in agreement with the Simon-Griffith theorem) and a critical coupling ofλ crit /4m 2=2.446 as compared to a first order phase transition andλ crit /4m 2=2.568 from the Gaussian effective potential approach.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01292336
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