The Higher Derivative Expansion of the Effective Action by the String-Inspired Method, Part I

Abstract

The higher derivative expansion of the one-loop effective action for an external scalar potential is calculated to order O(T**7), using the string-inspired Bern-Kosower method in the first quantized path integral formulation. Comparisons are made with standard heat kernel calculations and with the corresponding Feynman diagrammatic calculation in order to show the efficiency of the present method.

13 pages, Plain TEX, 1 figure may be obtained from the authors, HD-THEP-93-44

References in corpus (4)

• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• One-Loop Corrections to Five-Gluon Amplitudes
• On the Calculation of Effective Actions by String Methods
• String-Based Methods in Perturbative Gravity

Cited by in corpus (34)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Massive Loop Amplitudes from Unitarity
• Factorization in One-Loop Gauge Theory
• Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
• Gluon Condensation in Nonperturbative Flow Equations
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part I
• The Higher Derivative Expansion of the Effective Action by the String Inspired Method. Part II
• Multiloop Calculations in the String-Inspired Formalism: The Single Spinor-Loop in QED
• Covariant technique of derivative expansion of one-loop effective action
• One-loop corrections to the metastable vacuum decay
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• Yukawa Couplings for the Spinning Particle and the World Line Formalism
• Sizable CP Violation in the Bosonized Standard Model
• Scalar heat kernel with boundary in the worldline formalism
• Dressed scalar propagator in a non-abelian background from the worldline formalism
• Master formulas for the dressed scalar propagator in a constant field
• Massive field contributions to the QCD vacuum tunneling amplitude
• Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra
• Worldline holographic Schwinger effect
• Heat-kernel approach for scattering
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part II
• Worldline description of a bi-adjoint scalar and the zeroth copy
• On quantum aspects of the higher-derivative Lorentz-breaking extension of QED
• $(\mathcal{F},\mathcal{G})$-summed form of the QED effective action
• Effective Action in a General Chiral Model: Next to Leading Order Derivative Expansion in the Worldline Method
• Fast Converging Path Integrals for Time-Dependent Potentials I: Recursive Calculation of Short-Time Expansion of the Propagator
• New Techniques for Worldline Integration
• Off-Diagonal Elements of the DeWitt Expansion from the Quantum Mechanical Path Integral
• On the decoupling of heavy states in higher-derivative supersymmetric field theories
• The fifth dimension in the worldline formalism, holography, and the Wilson flow
• Path-integral approach to the Wigner-Kirkwood expansion
• Covariant perturbation expansion of off-diagonal heat kernel
• Application of the Worldline Path Integral Method to the Calculation of Inverse Mass Expansions
• Fermions in worldline holography