One-Loop Effective Action Approach to Quantum MHV Theory

Abstract

It is well known that the MHV action, i.e. the action containing all the maximally helicity violating vertices, is alone not sufficient for loop computations. In order to develop loop contributions systematically and to ensure that there are no missing terms, we propose to formulate the quantum MHV action via one-loop effective action approach. The quadratic field fluctuations in the light cone Yang-Mills theory are explicitly integrated, followed by the classical canonical field transformation. We test the approach by calculating one loop $(++++)$ and $(+++-)$ amplitudes, i.e. amplitudes that cannot be calculated from ordinary MHV action. Such an approach can be further used to unambiguously define loop corrections in other theories related to Yang-Mills theory by field transformations.

31 pages, 22 figures

References in corpus (8)

• The Kinematic Algebra From the Self-Dual Sector
• One-loop MHV Rules and Pure Yang-Mills
• Structure of the MHV-rules Lagrangian
• MHV Lagrangian for N=4 Super Yang-Mills
• Deriving CSW rules for massive scalar legs and pure Yang-Mills loops
• Wilson lines in the MHV action
• S-matrix equivalence restored
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited