Cundy, Nigel (2010) A renormalisation group derivation of the overlap formulation. NUCLEAR PHYSICS B, 824 (1-2). pp. 42-84. ISSN 0550-3213,
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Starting from the continuum Dirac operator, I construct a renormalisation group blocking which transforms the continuum action into a lattice action, and I specifically consider the Wilson and overlap formalisms. For Wilson fermions the inverse blocking is non-local and thus invalid. However, I proceed to demonstrate that it is possible to construct a valid, local, blocking which, though dependent on the lattice spacing, generates the lattice overlap fermion action from the continuum action. Using this renormalisation group blocking for overlap fermions, I re-derive the Ginsparg-Wilson equations and the lattice chiral symmetry, and show that the standard Ginsparg-Wilson relation is not the most general way of expressing chiral symmetry on the lattice, nor, for overlap fermions, the most natural. I suggest. how this reformulation of the Ginsparg-Wilson relation combined with the renormalisation group formulation of overlap fermions could allow the construction of a CP-invariant lattice chiral gauge theory. (c) 2009 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GINSPARG-WILSON RELATION; LATTICE GAUGE-THEORY; CHIRAL FERMIONS; DIRAC OPERATOR; TOPOLOGICAL CHARGE; INDEX; SYMMETRY; THEOREM; QUARKS; QCD; Chiral fermions; Lattice QCD; Renormalisation group |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Aug 2020 06:15 |
| Last Modified: | 24 Aug 2020 06:15 |
| URI: | https://pred.uni-regensburg.de/id/eprint/25568 |
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