Relations between some analytic representations of one-loop scalar integrals

Abstract

We compare several parametrized analytic expressions for an arbitrary off-shell one-loop $n$-point function in scalar field theory in $D$-dimensional space-time, and show their equivalence both directly and through path-integral methods.

12 pages, NIKHEF-H/94-22

References in corpus (3)

• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• On the Calculation of Effective Actions by String Methods
• Worldline Green Functions for Multiloop Diagrams

Cited by in corpus (9)

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• Multiloop Calculations in the String-Inspired Formalism: The Single Spinor-Loop in QED
• Loop calculations in quantum-mechanical non-linear sigma models sigma models with fermions and applications to anomalies
• Propagators and Path Integrals
• Multiloop World-Line Green Functions from String Theory
• Multiloop ${\Phi }^3$ Amplitudes from Bosonic String Theory
• Relation between Worldline Green Functions for Scalar Two-Loop Diagrams
• Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
• Stability and mass of point particles