Path Integrals and Anomalies in Curved Space

DOI10.1017/CBO9780511535031zbMath1120.81057OpenAlexW1562682436MaRDI QIDQ5485957

Fiorenzo Bastianelli, Peter van Nieuwenhuizen

Publication date: 6 September 2006

Full work available at URL: https://doi.org/10.1017/cbo9780511535031

zbMATH Keywords

path integralsanomaliesYang-Mills and other gauge theoriesNonperturbative methods of renormalizationQuantum field theory on curved space backgrounds

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Path integrals in quantum mechanics (81S40) Anomalies in quantum field theory (81T50) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items

Path integral calculation of heat kernel traces with first order operator insertions ⋮ One-loop quantum gravity from a worldline viewpoint ⋮ On the trace anomaly of a Weyl fermion ⋮ Type I/heterotic duality and M-theory amplitudes ⋮ Magnetoconductivity in chiral Lifshitz hydrodynamics ⋮ Noncommutative \(U(1)\) gauge theory from a worldline perspective ⋮ Dynamics of entanglement in expanding quantum fields ⋮ Simplified path integral for supersymmetric quantum mechanics and type-A trace anomalies ⋮ Anomaly/transport in an ideal Weyl gas ⋮ A Monte Carlo approach to the worldline formalism in curved space ⋮ Baby universes and worldline field theories ⋮ One-particle reducible contribution to the one-loop scalar propagator in a constant field ⋮ Torsion and anomalies in the warped limit of Lifschitz theories ⋮ Six-dimensional one-loop divergences in quantum gravity from the \(\mathcal{N} = 4\) spinning particle ⋮ U(\(N\)) Yang-Mills in non-commutative space time ⋮ Anomalous conductivities in the holographic Stückelberg model ⋮ Scalar propagator in a background gluon field beyond the eikonal approximation ⋮ Path integral on star graph ⋮ A superstring field theory for supergravity ⋮ Multiphoton amplitudes and generalized LKF transformation in scalar QED using the worldline formalism ⋮ Chiral anomalies in six dimensions from harmonic superspace ⋮ Gravitational chiral anomaly and anomalous transport for fields with spin 3/2 ⋮ Worldline path-integral representations for standard model propagators and effective actions ⋮ Extended SUSY quantum mechanics: transition amplitudes and path integrals ⋮ U\((N|M)\) quantum mechanics on Kähler manifolds ⋮ Quantum theory of massless (\(p\), 0)-forms ⋮ Compton-like scattering of a scalar particle with \(N\) photons and one graviton ⋮ Spherically symmetric Jordan-Brans-Dicke quantum gravity with de Broglie Bohm pilot wave perspective ⋮ Dressed Dirac propagator from a locally supersymmetric \(\mathcal{N} = 1\) spinning particle ⋮ Quantum mechanical path integrals in curved spaces and the type-A trace anomaly ⋮ Violation of the phase space general covariance as a diffeomorphism anomaly in quantum mechanics ⋮ Master formulas for the dressed scalar propagator in a constant field ⋮ Bergman kernel from path integral ⋮ Quantum theories of \((p, q)\)-forms ⋮ Effective action for higher spin fields on (A)dS backgrounds ⋮ Resurgence of the large-charge expansion ⋮ Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions ⋮ Worldline description of a bi-adjoint scalar and the zeroth copy ⋮ Light bending from eikonal in worldline quantum field theory ⋮ Classical and quantum gravitational scattering with generalized Wilson lines