Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-03-14
Prog.Theor.Phys. 97 (1997) 635-652
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, Latex, no figures, to be published in Progress of Theoretical Physics
Scientific paper
10.1143/PTP.97.635
Spontaneous symmetry breaking of the light-front Gross-Neveu model is studied in the framework of the discretized light-cone quantization. Introducing a scalar auxiliary field and adding its kinetic term, we obtain a constraint on the longitudinal zero mode of the scalar field. This zero-mode constraint is solved by using the $1/N$ expansion. In the leading order, we find a nontrivial solution which gives the fermion nonzero mass and thus breaks the discrete symmetry of the model. It is essential for obtaining the nontrivial solution to treat adequately an infrared divergence which appears in the continuum limit. We also discuss the constituent picture of the model. The Fock vacuum is trivial and an eigenstate of the light-cone Hamiltonian. In the large $N$ limit, the Hamiltonian consists of the kinetic term of the fermion with dressed mass and the interaction term of these fermions.
Itakura Kazuhiro
Maedan Shinji
No associations
LandOfFree
Spontaneous Symmetry Breaking in Discretized Light-Cone Quantization 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 in Discretized Light-Cone Quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spontaneous Symmetry Breaking in Discretized Light-Cone Quantization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-370041