Published October 15, 1990
| Version v1
Journal article
Euclidean continuation of the Dirac fermion
Description
We have found a one-complex-parameter family of Dirac actions which interpolates between the Minkowski and a Euclidean Dirac action. The interpolating action is invariant under the ''interpolating Lorentz transformations.'' The resultant Euclidean action is Hermitian and SO(4) invariant. There is no doubling of degrees of freedom of the Dirac fermion and no contradiction between the SO(4) invariance and the Hermiticity property of the Euclidean propagator. The Euclidean theory so obtained also satisfies the Osterwalder-Schrader positivity condition
Additional details
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 65
- Journal Issue
- 16
- Series
- Phys. Rev. Lett.
- Journal Page Range
- 1983-1986
- ISSN
- 0031-9007
- CODEN
- PRLTA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 22023973
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACTION INTEGRAL; EUCLIDEAN SPACE; FERMIONS; LATTICE FIELD THEORY; MINKOWSKI SPACE; PARTITION FUNCTIONS; QUANTUM FIELD THEORY; SO-4 GROUPS; SPACE-TIME
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; FUNCTIONS; INTEGRALS; LIE GROUPS; MATHEMATICAL SPACE; RIEMANN SPACE; SO GROUPS; SPACE; SYMMETRY GROUPS