scholarly journals Complexified path integrals and the phases of quantum field theory

2010 ◽  
Vol 325 (11) ◽  
pp. 2486-2498 ◽  
Author(s):  
G. Guralnik ◽  
Z. Guralnik
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integrals ◽  
Quantum Field

Quantum Field Theory: From Operators to Path Integrals

Physics Today ◽  
1999 ◽  
Vol 52 (11) ◽  
pp. 66-68 ◽  
Author(s):  
Kerson Huang ◽  
Michael E. Peskin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integrals ◽  
Quantum Field

Fermions and Functional Formalism

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Clifford Algebras ◽  
Path Integrals ◽  
Quantum Field ◽  
Functional Formalism ◽  
Grassmannian Manifold ◽  
Spinor Fields

The introduction of spinor fields and the problem of the positivity of the energy. Need for anti-commutators. Calculus in a Grassmannian manifold, the Berezin integral. Clifford algebras. Quantum mechanics and quantum field theory with fermions. The use of path integrals.

scholarly journals FIELD REDEFINITION INVARIANCE IN QUANTUM FIELD THEORY

2001 ◽  
Vol 16 (03) ◽  
pp. 103-112 ◽  
Author(s):  
KARYN M. APFELDORF ◽  
HORACIO E. CAMBLONG ◽  
CARLOS R. ORDÓÑEZ
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integrals ◽  
Quantum Mechanical ◽  
Quantum Field ◽  
Quantum Mechanical Theory ◽  
Before And After ◽  
Spatial Coordinates ◽  
Free Scalar ◽  
Field Redefinition

The issue of field redefinition invariance of path integrals in quantum field theory is re-examined. A "paradox" is presented involving the reduction to an effective quantum-mechanical theory of a (d+1)-dimensional free scalar field in a Minkowskian space–time with compactified spatial coordinates. The implementation of field redefinitions both before and after the reduction suggests that operator-ordering issues in quantum field theory should not be ignored.

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