BRST treatment of zero modes for the worldline formalism in curved space

DOI10.1088/1126-6708/2004/01/023zbMath1243.81211arXivhep-th/0312064OpenAlexW2082553004MaRDI QIDQ438308

Fiorenzo Bastianelli, Olindo Corradini, Andrea Zirotti

Publication date: 30 July 2012

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0312064

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Anomalies in quantum field theory (81T50)

Related Items (14)

Path integral calculation of heat kernel traces with first order operator insertions ⋮ Einstein gravity from the \( \mathcal{N}=4 \) spinning particle ⋮ Noncommutative \(U(1)\) gauge theory from a worldline perspective ⋮ Worldline quantization of field theory, effective actions and \(L_{\infty}\) structure ⋮ A Monte Carlo approach to the worldline formalism in curved space ⋮ Six-dimensional one-loop divergences in quantum gravity from the \(\mathcal{N} = 4\) spinning particle ⋮ U(\(N\)) Yang-Mills in non-commutative space time ⋮ Quantum theory of massless (\(p\), 0)-forms ⋮ New techniques for worldline integration ⋮ Half-integer higher spin fields in (A)dS from spinning particle models ⋮ Master formulas for the dressed scalar propagator in a constant field ⋮ Quantum theories of \((p, q)\)-forms ⋮ Effective action for higher spin fields on (A)dS backgrounds ⋮ Classical and quantum gravitational scattering with generalized Wilson lines

Cites Work

• Worldline formalism in a gravitational background
• Nonlinear models in \(2+\epsilon\) dimensions
• Trace and chiral anomalies in string and ordinary field theory from Feynman diagrams for nonlinear sigma models
• Loop calculations in quantum-mechanical non-linear sigma models
• Loop calculations in quantum mechanical nonlinear sigma models with fermions and applications to anomalies
• PERTURBATIVELY DEFINED EFFECTIVE CLASSICAL POTENTIAL IN CURVED SPACE
• Theory of Charged Vector Mesons Interacting with the Electromagnetic Field
• Supersymmetry and the Atiyah-Singer index theorem
• Conformal anomaly of \((2,0)\) tensor multiplet in six dimensions and AdS/CFT correspondence
• Dimensional regularization of the path integral in curved space on an infinite time interval
• Trace anomalies and the string-inspired definition of quantum-mechanical path integrals in curved space.
• Reparametrization invariance of path integrals
• Effective field theory from quantized strings
• Perturbative quantum field theory in the string-inspired formalism

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