Yukawa Couplings for the Spinning Particle and the World Line Formalism

Abstract

We construct the world-line action for a Dirac particle coupled to a classical scalar or pseudo-scalar background field. This action can be used to compute loop diagrams and the effective action in the Yukawa model using the world-line path-integral formalism for spinning particles.

10 pages Latex, two uuencoded postscript figures. Note added at the end

References in corpus (6)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• On the Calculation of Effective Actions by String Methods
• Worldline Green Functions for Multiloop Diagrams
• The Higher Derivative Expansion of the Effective Action by the String-Inspired Method, Part I
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Cited by in corpus (36)

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• The Higher Derivative Expansion of the Effective Action by the String Inspired Method. Part II
• Worldline Path Integrals for Fermions with Scalar, Pseudoscalar and Vector Couplings
• Loop calculations in quantum-mechanical non-linear sigma models sigma models with fermions and applications to anomalies
• Worldline Path Integrals for Fermions with General Couplings
• Covariant technique of derivative expansion of one-loop effective action
• Propagators and Path Integrals
• Constructing phase space distributions with internal symmetries
• Multiloop World-Line Green Functions from String Theory
• Axial Couplings on the World-Line
• Worldline path integral for the massive Dirac propagator : A four-dimensional approach
• Sizable CP Violation in the Bosonized Standard Model
• The role of the chiral anomaly in polarized deeply inelastic scattering II: Topological screening and transitions from emergent axion-like dynamics
• World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory
• Calculation of 1-loop Hexagon Amplitudes in the Yukawa Model
• Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes
• String-inspired representations of photon/gluon amplitudes
• Multiloop ${\Phi }^3$ Amplitudes from Bosonic String Theory
• A New Approach to Axial Vector Model Calculations
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part II
• Pure bosonic worldline path integral representation for fermionic determinants, non-Abelian Stokes theorem, and quasiclassical approximation in QCD
• Structure functions at small x from world-lines. I: Unpolarized distributions
• Relation between Worldline Green Functions for Scalar Two-Loop Diagrams
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part III
• Effective Action in a General Chiral Model: Next to Leading Order Derivative Expansion in the Worldline Method
• Pinched Gluon Vertex Operator in Super-Worldline Formalism
• Integral representations of thermodynamic 1PI Green functions in the world-line formalism
• Supersymmetric Models For Gauge Inflation
• Fermions and world-line supersymmetry
• Three Applications of the String-Inspired Technique to Quantum Electrodynamics
• Worldlines on Orbifolds and the Fayet-Iliopoulos Term