Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-12-01
Phys.Rev. D48 (1993) 816-821
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, OHSTPY-HEP-TH-92-023
Scientific paper
10.1103/PhysRevD.48.816
We study spontaneous symmetry breaking in phi^4_(1+1) using the light-front formulation of the field theory. Since the physical vacuum is always the same as the perturbative vacuum in light-front field theory the fields must develop a vacuum expectation value through the zero-mode components of the field. We solve the nonlinear operator equation for the zero-mode in the one-mode approximation. We find that spontaneous symmetry breaking occurs at lambda_critical = 4 pi(3+sqrt 3), which is consistent with the value lambda_critical = 54.27 obtained in the equal time theory. We calculate the value of the vacuum expectation value as a function of the coupling constant in the broken phase both numerically and analytically using the delta expansion. We find two equivalent broken phases. Finally we show that the energy levels of the system have the expected behavior within the broken phase.
Bender
Pinsky
Sande van de
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