Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-10-21
Phys.Rev.D49:2001-2013,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages
Scientific paper
10.1103/PhysRevD.49.2001
We discuss spontaneous symmetry breaking of (1+1)-dimensional $\phi^4$ theory in light-front field theory using a Tamm-Dancoff truncation. We show that, even though light-front field theory has a simple vacuum state which is an eigenstate of the full Hamiltonian, the field can develop a nonzero vacuum expectation value. This occurs because the zero mode of the field must satisfy an operator valued constraint equation. In the context of (1+1)-dimensional $\phi^4$ theory we present solutions to the constraint equation using a Tamm-Dancoff truncation to a finite number of particles and modes. We study the behavior of the zero mode as a function of coupling and Fock space truncation. The zero mode introduces new interactions into the Hamiltonian which breaks the $Z_2$ symmetry of the theory when the coupling is stronger than the critical coupling.
Pinsky Stephan
van de Sande Brett
No associations
LandOfFree
Spontaneous symmetry breaking of (1+1)-dimensional $φ^4$ theory in light-front field theory (II) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spontaneous symmetry breaking of (1+1)-dimensional $φ^4$ theory in light-front field theory (II), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spontaneous symmetry breaking of (1+1)-dimensional $φ^4$ theory in light-front field theory (II) will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-634381