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We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons''. These worldline instantons are classical solutions to the Euclidean worldline loop equations…

高能物理 - 理论 · 物理学 2009-11-11 Gerald V. Dunne , Christian Schubert

Polyakov's calculation of the effective action for the 2d nonlinear sigma-Model is generalized by purely analytic means to include contributions which are not UV-divergent and which depend on the choice of block spin. An analytic…

高能物理 - 格点 · 物理学 2009-10-31 M. Bartels , G. Mack , G. Palma

New terms are derived for the three-dimensional effective action of the static modes of pure gauge SU(N) at high temperature. In previous works, effective vertices have been obtained by evaluating diagrams involving 2, 3 or 4 external…

高能物理 - 唯象学 · 物理学 2010-11-01 Scott Chapman

The Yukawa model in curved spacetime is considered. We consider a complex scalar field coupled to a $U(1)$ gauge field and also interacting with Dirac fields with a general Yukawa coupling. The local momentum space method is used to obtain…

高能物理 - 理论 · 物理学 2018-07-25 David J. Toms

We show from the action integral that under the assumption of longitudinal dominance and transverse confinement, QCD4 in (3+1) dimensional space-time can be approximately compactified into QCD2 in (1+1) dimensional space-time. In such a…

高能物理 - 理论 · 物理学 2012-11-02 Andrey V. Koshelkin , Cheuk-Yin Wong

This study employs the effective field theory approach to quantum gravity to investigate a non-Abelian gauge theory involving scalar particles coupled to gravity. The study demonstrates explicitly that the Slavnov-Taylor identities are…

高能物理 - 理论 · 物理学 2023-06-14 Huan Souza , L. Ibiapina Bevilaqua , A. C. Lehum

Functional methods and a derivative expansion are employed for laying out a procedure to compute the effective action to any loop order, for scalar fields parametrising an arbitrary Riemannian manifold, while maintaining explicit…

高能物理 - 理论 · 物理学 2024-10-08 Rodrigo Alonso , Mia West

We develop the in-out formalism for one-loop effective actions in electromagnetic fields in the space-dependent gauge. We further advance a method using the inverse scattering matrix to calculate the effective actions in pure magnetic…

高能物理 - 理论 · 物理学 2011-07-22 Sang Pyo Kim

At 2-loop order in the Coulomb gauge, individual Feynman graphs contributing to the effective action have energy divergences. It is proved that these cancel in suitable combinations of graphs. This has previously been shown only for…

高能物理 - 理论 · 物理学 2015-08-14 A. Andrasi , J. C. Taylor

Performing a relativistic approximation as the generalization to a curved spacetime of the flat space Klein-Gordon equation, an effective Hamiltonian which includes non-minimial coupling between gravity and scalar field and also quartic…

广义相对论与量子宇宙学 · 物理学 2009-02-16 Emine Mese , Nurettin Pirinccioglu , Irfan Acikgoz , Figen Binbay

The path optimization method is applied to a QCD effective model with the Polyakov loop and the repulsive vector-type interaction at finite temperature and density to circumvent the model sign problem. We show how the path optimization…

高能物理 - 格点 · 物理学 2019-06-18 Kouji Kashiwa , Yuto Mori , Akira Ohnishi

We review the implementation, in a temporal-gauge formulation of QCD, of the non-Abelian Gauss's law and the construction of gauge-invariant gauge and matter fields. We then express the QCD Hamiltonian in terms of these gauge-invariant…

高能物理 - 理论 · 物理学 2009-11-07 Kurt Haller

Performing an nonperturbative path integral for the geometric part of a large class of 2d theories without kinetic term for the dilaton field, the quantum effects from scalar matter fields are treated as a perturbation. When integrated out…

高能物理 - 理论 · 物理学 2009-10-30 W. Kummer , H. Liebl , D. V. Vassilevich

The continuation of high energy QCD Lipatov's effective action to Euclidean space is performed. The resulting Euclidean QCD RFT action is considered separately in Euclidean "light-cone" coordinates and axial gauge suitable for the numerical…

高能物理 - 理论 · 物理学 2020-05-20 S. Bondarenko

We consider one-loop effective action of SU(3) QCD with a most general constant chromomagnetic (chromoelectric) background which has two independent Abelian field components. The effective potential with a pure magnetic background has a…

高能物理 - 唯象学 · 物理学 2008-11-26 Y. M. Cho , J. H. Kim , D. G. Pak

We solve the collisionless transport equations of a quark-gluon plasma interacting through mean chromodynamic fields. The system is assumed to be translation invariant in one or more space-time directions. We present exact solutions that…

高能物理 - 唯象学 · 物理学 2008-11-26 Cristina Manuel , Stanislaw Mrowczynski

We apply the resolvent technique to the computation of the QED effective action in time dependent electric field backgrounds. The effective action has both real and imaginary parts, and the imaginary part is related to the pair production…

高能物理 - 理论 · 物理学 2009-10-31 Gerald Dunne , Theodore Hall

The graphical method discussed previously can be used to create new gauges not reachable by the path-integral formalism. By this means a new gauge is designed for more efficient two-loop QCD calculations. It is related to but simpler than…

高能物理 - 唯象学 · 物理学 2009-10-30 Y. J. Feng , C. S. Lam

We study the flow of the non-local truncation in quantum gravity and we focus in particular on the Polyakov effective action for a non-minimally coupled scalar field on a two dimensional curved space. We show that it is possible to…

广义相对论与量子宇宙学 · 物理学 2024-11-01 E. M. Glaviano , A. Bonanno

A numerical technique for calculating effective actions of electromagnetic backgrounds is proposed, which is based on the string-inspired worldline formalism. As examples, we consider scalar electrodynamics in three and four dimensions to…

高能物理 - 唯象学 · 物理学 2009-11-07 Holger Gies , Kurt Langfeld