Spontaneous Symmetry Breaking in Discretized Light-Cone Quantization : Particles and Fields

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概要

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• 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.

• 理論物理学刊行会の論文
• 1997-04-25

著者

• Maedan Shinji

  Department Of Physics Tokyo Metropolitan University

• Maedan Shinji

  Department Of Physics Kanazawa University

• ITAKURA Kazunori

  Institute of Physics, University of Tokyo

• Itakura Kazunori

  Institute Of Physics University Of Tokyo

• MAEDAN Shinji

  Department of Physics, Tokyo Metropolitan University

• MAEDAN Shinji

  Department of Physics,Kanazawa University

• Maedan Shinji

  Institute of Physics, University of Tokyo

• Itakura Kazunori

  Department of Physics, Tokyo Metropolitan University

• ITAKURA Kazunori

  Yukawa Institute for Theoretical Physics,Kyoto University

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• Classical Aspects of the Abelian Higgs Model on the Light Front
• Abelian Confinement Mechanism and QCD Vacuum : Particles and Fields
• Spontaneous Symmetry Breaking in Discretized Light-Cone Quantization : Particles and Fields
• Can the Color Glass Condensate Describe Early Thermalization?(Theoretical methods, Dense hadronic and quark matter, New Frontiers in QCD-Exotic Hadrons and Hadronic Matter-)
• Schwinger-Dyson-type Equation for an InfraredEffective Theory of QCD
• An Infrared Effective Theory of Quark Confinement Based on Monopole Condensation : Particles and Fields
• Gap Equations from Fermionic Constraints on the Light-Front
• Light-Front Realization of Chiral Symmetry Breaking
• Spin Polarization and Chiral Symmetry Breaking at Finite Density(Nuclear Physics)

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