QCD gluon vertices from the string-inspired formalism

Abstract

The Bern-Kosower formalism, developed around 1990 as a novel way of obtaining QCD amplitudes as the limit of infinite string tension of the corresponding string amplitudes, was originally designed as an on-shell formalism. Building on early work by Strassler, the authors have recently shown that this `string-inspired formalism' is extremely efficient also as a tool for the study of off-shell amplitudes in QCD, and in particular for achieving compact form factor decompositions of the N-gluon vertices. Among other things, this formalism allows one to achieve a manifestly gauge invariant decomposition of these vertices by way of integration-by-parts, rather than the usual tedious analysis of the nonabelian off-shell Ward identities, and to combine the spin zero, half and one cases. Here, we will provide a summary of the method, as well as its application to the three- and four-gluon vertices.

arXiv commentPublished in: International Journal of Modern Physics E (IJMPE)

References in corpus (25)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Perturbative Gauge Theory As A String Theory In Twistor Space
• New Recursion Relations for Tree Amplitudes of Gluons
• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• Pinch Technique: Theory and Applications
• A Duality For The S Matrix
• Dual Superconformal Invariance, Momentum Twistors and Grassmannians
• Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
• Basics of Generalized Unitarity
• The Higher Derivative Expansion of the Effective Action by the String Inspired Method. Part II
• A Dyson-Schwinger study of the four-gluon vertex
• The Form Factors of the Gauge-Invariant Three-Gluon Vertex
• Four-point functions and the permutation group S4
• The running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
• Two-loop three-gluon vertex in zero-momentum limit
• Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory
• Conformal Symmetry and Differential Regularization of the Three-Gluon Vertex
• Two loop QCD vertices at the symmetric point
• Multiphoton amplitudes and generalized LKF transformation in Scalar QED
• A covariant representation of the Ball-Chiu vertex
• Symmetric point quartic gluon vertex and momentum subtraction
• On-shell two-loop three-gluon vertex
• Quark mass dependence of the one-loop three-gluon vertex in arbitrary dimension

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• QCD Running Couplings and Effective Charges
• Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
• Color-kinematics duality from the Bern-Kosower formalism
• The QED four -- photon amplitudes off-shell: part 1
• The QED four-photon amplitudes off-shell: part 2
• Compton-like scattering of a scalar particle with N photons and one graviton
• Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
• New Techniques for Worldline Integration
• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• Off-shell Ward identities for N-gluon amplitudes
• $U(N)$ Yang-Mills in non-commutative space time