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We describe how to construct and compute unambiguously path integrals for particles moving in a curved space, and how these path integrals can be used to calculate Feynman graphs and effective actions for various quantum field theories with…

High Energy Physics - Theory · Physics 2007-05-23 Fiorenzo Bastianelli

We show how the gravity, extrinsic curvature, and gauge field theories are induced on dynamically localized brane world. They should obey the Gauss-Codazzi-Ricci equation in addition to their own equations of motion. As an example, we…

High Energy Physics - Theory · Physics 2009-10-31 Keiichi Akama , Takashi Hattori

We revisit the effective field theory of long relativistic strings such as confining flux tubes in QCD. We derive the Polchinski-Strominger interaction by a calculation in static gauge. This interaction implies that a non-critical string…

High Energy Physics - Theory · Physics 2013-02-18 Sergei Dubovsky , Raphael Flauger , Victor Gorbenko

We suggest how to derive the exact (all order in $\a'$) expressions for the background fields for string solutions corresponding to gauged WZW models directly at the $2d$ field theory level. One is first to replace the classical gauged WZW…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

We develop a worldline approach to quantum gravity in D=4. Using the background field method we consider the covariantly gauge fixed Einstein-Hilbert action with cosmological constant, and find a worldline representation of the differential…

High Energy Physics - Theory · Physics 2013-06-25 Fiorenzo Bastianelli , Roberto Bonezzi

We examine the first-order Einstein-Cartan (EC) action in 2+1 dimensions, including a cosmological term and its supersymmetric extension. In this setting the spin connection can be expressed as an axial vector, yielding an action that is…

High Energy Physics - Theory · Physics 2026-01-16 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

We investigate the role of external constraints in quantum field theory using the path integral formalism. We begin by reviewing the quantization of constrained systems and extend the analysis to cases where constraints are added to the…

High Energy Physics - Theory · Physics 2025-04-14 Amin Akhavan

We discuss the following recent applications of the ``string-inspired'' worldline technique to calculations in quantum electrodynamics: i) Photon splitting in a constant magnetic field, ii) The two-loop Euler-Heisenberg Lagrangian, iii) A…

High Energy Physics - Theory · Physics 2015-06-26 Denny Fliegner , Michael G. Schmidt , Christian Schubert

This talk is based on work made with L. Magnea and R. Russo. We give an explicit expression of the multiloop partition function of open bosonic string theory in the presence of a constant gauge field strength. The Schottky parametrization…

High Energy Physics - Theory · Physics 2008-11-26 Stefano Sciuto

In the second part of this series we apply the ``string-inspired'' technique to the calculation of one-loop amplitudes involving both vectors and axialvectors, as well as a general constant electromagnetic background field. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 Christian Schubert

We explore gauge fields - strings duality by means of the loop equations and the zigzag symmetry. The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [A.M. Polyakov, hep-th/9711002]…

High Energy Physics - Theory · Physics 2009-10-31 A. Polyakov , V. Rychkov

We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation…

High Energy Physics - Theory · Physics 2010-04-05 Y. Kiem , S. -S. Kim , S. -J. Rey , H. -T. Sato

We extend the worldline description of vector and antisymmetric tensor fields coupled to gravity to the massive case. In particular, we derive a worldline path integral representation for the one-loop effective action of a massive…

High Energy Physics - Theory · Physics 2009-11-11 Fiorenzo Bastianelli , Paolo Benincasa , Simone Giombi

We show how string theory can be used to reproduce the one-loop two-point photon amplitude in noncommutative U(1) gauge theory. Using a simple realization of the gauge theory in bosonic string theory, we extract from a string cylinder…

High Energy Physics - Theory · Physics 2010-11-26 Jaume Gomis , Matthew Kleban , Thomas Mehen , Mukund Rangamani , Stephen Shenker

We construct non-standard interactions between exterior form gauge fields by gauging a particular global symmetry of the Einstein-Maxwell action for such fields. Furthermore we discuss generalizations of such interactions by adding…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt , Joan Simon , Ulrich Theis

By exploiting the boundary state formalism we obtain the string correlator between two internal points on the one loop open string world-sheet in the presence of a constant background $B$-field. From this derivation it is clear that there…

High Energy Physics - Theory · Physics 2009-10-31 Adel Bilal , Chong-Sun Chu , Rodolfo Russo

Motivated by the seminal work of Schwinger, we obtain explicit closed form expressions for the one-loop effective action in a constant electromagnetic field. We discuss both massive and massless charged scalars and spinors in two, three,…

High Energy Physics - Theory · Physics 2011-11-10 Steven K. Blau , Matt Visser , Andreas Wipf

Loop quantum gravity envisions a small scale structure of spacetime that is markedly different from that of the classical spacetime continuum. This has ramifications for the excitation of matter fields and for their coupling to gravity.…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Refik Mansuroglu , Hanno Sahlmann

We propose a procedure to determine the moduli-space integrands of loop-level superstring amplitudes for massless external states in terms of the field theory limit. We focus on the type II superstring. The procedure is to: (i) take a…

High Energy Physics - Theory · Physics 2021-11-19 Yvonne Geyer , Ricardo Monteiro , Ricardo Stark-Muchão

It has been known for many years that methods inspired by string theory, such as the worldline formalism, allow one to write down integral representations that combine large numbers of Feynman diagrams of different topologies. However, to…