Abstract
Using a method introduced in an earlier paper, we study a Bose field coupled to a Fermi field in 1+1 space-time dimensions. We employ the standard Hamiltonian formalism in which one computes the eigenvalues and eigenvectors of the Hamiltonian matrix. The matrix elements are computed using states defined on a lattice in momentum space. The results are compared with known strong and weak coupling limits. Bound states and renormalization effects are studied. We find that the choice of bare masses which give specified physical masses can be non-unique once a critical couplingλ μ has been exceeded.
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References
E.D. Brooks III, S.C. Frautschi: Z. Phys. C—Particles and Fields14, 27–33 (1982)
T. Barnes, G.J. Daniell: Phys. Rev.D28, 2045 (1983)
S. Schweber: Relativistic quantum field theory. p. 339–351
C. Cole, S. Wolfram et al.: SMP Handbook. Caltech (1981)
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Work supported in part by the U.S. Department of Energy under Contract No. DE-AC-03-81-ER40050
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Brooks, E.D., Frautschi, S.C. Scalars coupled to fermions in 1+1 dimensions. Z. Phys. C - Particles and Fields 23, 263–273 (1984). https://doi.org/10.1007/BF01546194
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DOI: https://doi.org/10.1007/BF01546194