Journal article

Publication year: 1995

Pages: 301-310

Journal: Zeitschrift für Physik A, Hadrons and Nuclei

Volume number: 353

Issue number: 3

ISSN: 0939-7922

Open access status: Green

DOI Link: https://doi.org/10.1007/BF01292336

Publisher: Springer

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 the lambda Phi(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 temperature T = 0. Within our momentum space discretization we obtain a second order phase transition (in agreement with the Simon-Griffith theorem) and a critical coupling of lambda(crit)/4m(2) = 2.446 as compared to a first order phase transition and lambda(crit)/4m(2) = 2.568 from the Gaussian effective potential approach.

Harvard Citation style: Hauser, J., Cassing, W., Peter, A. and Thoma, M. (1995) Connected Green function approach to symmetry breaking in Phi(4)(1+1)-theory, Zeitschrift für Physik A Hadrons and Nuclei, 353(3), pp. 301-310. https://doi.org/10.1007/BF01292336

APA Citation style: Hauser, J., Cassing, W., Peter, A., & Thoma, M. (1995). Connected Green function approach to symmetry breaking in Phi(4)(1+1)-theory. Zeitschrift für Physik A Hadrons and Nuclei. 353(3), 301-310. https://doi.org/10.1007/BF01292336