Properties of the fixed point lattice Dirac operator in the Schwinger model
Feb, 199837 pages
Published in:
- Phys.Rev.D 58 (1998) 054501
e-Print:
- hep-lat/9802009 [hep-lat]
Report number:
- BUTP-97-36,
- UNIGRAZ-UTP-02-02-98
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Abstract:
We present a numerical study of the properties of the Fixed Point lattice Dirac operator in the Schwinger model. We verify the theoretical bounds on the spectrum, the existence of exact zero modes with definite chirality, and the Index Theorem. We show by explicit computation that it is possible to find an accurate approximation to the Fixed Point Dirac operator containing only very local couplings.- lattice field theory
- Schwinger model
- operator: Dirac
- fixed point
- operator: spectrum
- zero mode
- symmetry: chiral
- index theorem
- coupling: local
- charge: topological
References(40)
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- •
- Commun.Math.Phys. 85 (1982) 39
- DOI:
- ,
- ,
- G.C. Rossi(,)
- Rome U. and
- INFN, Rome
- •
- Nucl.Phys.B 192 (1981) 392,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 426-442. ( Nucl. Phys. B192 ( 1981) 392-408) and CERN Geneva - TH. 3091 (81,REC.JUL.) 24p
- ,
- ,
- ,
- •
- Phys.Lett.B 128 (1983) 309-315
- ,
- ,
- •
- Phys.Lett.B 212 (1988) 206-210
- •
- Phys.Lett.B 105 (1981) 219-223
- •
- Nucl.Phys.B 185 (1981) 20,
- Nucl.Phys.B 195 (1982) 541 (erratum),
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 533-555. ( Nucl. Phys. B185 ( 1981) 20-40). ( Nucl. Phys. B195 ( 1982) 541-542) and Chilton Rutherford Lab. - RL-80-090 (80,REC.JAN.81) 46p
- ,
- •
- Annals Math. 93 (1971) 139-149
- DOI:
- •
- Phys.Lett.B 67 (1977) 172-174
- ,
- ,
- •
- Phys.Rev.D 16 (1977) 417-422
- •
- Nucl.Phys.B Proc.Suppl. 63 (1998) 53-58,
- e-Print:•
- •
- Nucl.Phys.B 414 (1994) 785-814
- e-Print:•
- ,
- ,
- ,
- •
- Nucl.Phys.B 454 (1995) 638-644
- e-Print:•
- •
- Nucl.Phys.B 521 (1998) 337-364
- e-Print:•
- •
- Nucl.Phys.B 507 (1997) 399-415
- e-Print:•
- ,
- ,
- ,
- •
- Nucl.Phys.B 454 (1995) 587-614
- e-Print:•
- ,
- ,
- ,
- •
- Nucl.Phys.B 454 (1995) 615-637
- e-Print:•
- •
- Nucl.Phys.B 478 (1996) 335-348
- e-Print:•
- •
- Phys.Lett.B 420 (1998) 91-96
- e-Print:•
- ,
- ,
- ,
- •
- Phys.Rev.D 53 (1996) 923-932
- e-Print:•
- ,
- ,
- •
- Phys.Rev.D 55 (1997) 2274-2282
- e-Print:•
- ,
- ,
- ,
- ,
- •
- Nucl.Phys.B Proc.Suppl. 53 (1997) 942-944,
- Lattice 96:942-944
- e-Print:•
- •
- Nucl.Phys.B Proc.Suppl. 53 (1997) 56-68,
- Lattice 96:56-68
- e-Print:•
- ,
- ,
- ,
- ,
- •
- Nucl.Phys.B Proc.Suppl. 63 (1998) 904-906,
- e-Print:•
- •
- Phys.Lett.B 427 (1998) 125-131
- e-Print:•
- •
- Nucl.Phys.B 516 (1998) 402-416
- e-Print:•