Euclidean continuation of the Dirac fermion

Journal Article · Mon Oct 15 00:00:00 EDT 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.65.1983· OSTI ID:6059027

Mehta, M R ^[1]

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1. Department of Physics, Indian Institute of Science, Bangalore (India)

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.

• OSTI ID: 6059027
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 65:16; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
EUCLIDEAN SPACE
FERMIONS
FIELD THEORIES
FUNCTIONS
INTEGRALS
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTITION FUNCTIONS
QUANTUM FIELD THEORY
RIEMANN SPACE
SO GROUPS
SO-4 GROUPS
SPACE
SPACE-TIME
SYMMETRY GROUPS