Flavors of Lagrangian Susskind Fermions
Mar, 198324 pages
Published in:
- Nucl.Phys.B 220 (1983) 447-470
- Published: 1983
Report number:
- SACLAY-DPh-G-SPT/83-29
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Abstract: (Elsevier)
It is shown in this paper how to write the Susskind fermionic action explicitly in terms of flavour Dirac fields defined on hypercubes in position space. The remnant continuous global symmetry is identified with a U(1) V ⊗U(1) A group, where the axial symmetry is flavour non-singlet. This construction allows us to identify the equantum numbers of states found in dynamical calculations for SU( N ) gauge theories, and the currents associated with the above global symmetry. It is also used, in the strong-coupling limit, to compute the decay constant of the pseudo-scalar Goldstone boson associated with the spontaneous breakdown of the U(1) A symmetry. We stress that our construction of flavours leads to a quark propagator which is continuous on the edges of the Brillouin zone, unlike the one obtained by assigning different flavours to different parts of this zone.- LATTICE FIELD THEORY
- FERMION: FLAVOR
- GAUGE FIELD THEORY: ACTION
- GAUGE FIELD THEORY: SU(N)
- SYMMETRY: U(1) X U(1)
- SPIN
- QUARK: PROPAGATOR
- SYMMETRY: CHIRAL
- CURRENT
- PCAC model
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