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Virtual two-loop corrections to scattering amplitudes are a key ingredient to precision physics at collider experiments. We compute the full set of planar master integrals relevant to five-point functions in massless QCD, and use these to…

高能物理 - 唯象学 · 物理学 2016-04-18 T. Gehrmann , J. M. Henn , N. A. Lo Presti

Perturbation theory in the nonperturbative QCD vacuum and the non-Abelian Stokes theorem, representing a Wilson loop in the SU(2) gluodynamics as an integral over all the orientations in colour space, are applied to a derivation of the…

高能物理 - 理论 · 物理学 2014-11-18 D. V. Antonov , D. Ebert

We develop a general framework for effective equations of expectation values in quantum cosmology and pose for them the quantum Cauchy problem with no-boundary and tunneling wavefunctions. Cosmological configuration space is decomposed into…

广义相对论与量子宇宙学 · 物理学 2009-10-31 A. O. Barvinsky , D. V. Nesterov

We discuss an effective Polyakov loop model for QCD thermodynamics with a chemical potential. Using high temperature expansion techniques the partition sum is mapped exactly onto the partition sum of a flux model. In the flux representation…

高能物理 - 格点 · 物理学 2011-06-13 Christof Gattringer

In this article we study in detail the prospects of determining the infrared finite QCD effective charge from a special kinematic limit of the vertex function corresponding to three background gluons. This particular Green's function…

高能物理 - 唯象学 · 物理学 2013-06-26 D. Binosi , D. Ibanez , J. Papavassiliou

We derive the quantum effective action up to second order in gradients and up to two-loop order for an interacting scalar field theory. This expansion of the effective action is useful to study problems in cosmological settings where…

高能物理 - 理论 · 物理学 2024-09-17 Sofia Canevarolo , Tomislav Prokopec

By analytically continuing QCD scattering amplitudes through specific complexified momenta, one can study and learn about the nature and the consequences of factorization and unitarity. In some cases, when coupled with the largest time…

高能物理 - 理论 · 物理学 2008-11-26 Diana Vaman , York-Peng Yao

Using the in-out formalism, we derive the exact one-loop QED effective actions for spinor field in a uniform electric field in two-dimensional global (anti-)de Sitter (A)dS$_2$ spacetime. The one-loop effective action probed by a scalar or…

高能物理 - 理论 · 物理学 2026-03-09 Chiang-Mei Chen , Sang Pyo Kim , Cristian Andres Rivera Medina

We derive the partition function for the SU(3) Yang-Mills theory in the presence of a uniform gluon field within the background field method. We show, that the $n$-body gluon contributions in the partition function are characterized solely…

高能物理 - 唯象学 · 物理学 2015-06-04 Chihiro Sasaki , Krzysztof Redlich

Recently a new caculational scheme for effective actions in radial background fields was developed. The effective action is expressed as an infinite sum of partial-wave contributions, using the rotational symmetry of the system. The sum…

高能物理 - 理论 · 物理学 2017-08-23 Hyunsoo Min

We construct the covariant effective field theory of gravity as an expansion in inverse powers of the Planck mass, identifying the leading and next-to-leading quantum corrections. We determine the form of the effective action for the cases…

广义相对论与量子宇宙学 · 物理学 2016-11-08 Alessandro Codello , Rajeev Kumar Jain

The effective action for reggeized gluons is based on the gluodynamic Yang-Mills Lagrangian with external current for longitudinal gluons added, see [1]. On the base of classical solutions, obtained in [2], the one-loop corrections to this…

高能物理 - 理论 · 物理学 2017-10-25 S. Bondarenko , L. Lipatov , S. Pozdnyakov , A. Prygarin

The possibility of treating colour in one-loop amplitude calculations alike the other quantum numbers is briefly discussed for semi-numerical algorithms based on generalized unitarity and parametric integration techniques. Numerical results…

高能物理 - 唯象学 · 物理学 2015-03-17 Jan Winter

We review the resolvent technique for computing the effective action in planar QED. For static magnetic backgrounds the effective action yields (minus) the effective energy of the fermions, while for electric backgrounds the imaginary part…

高能物理 - 理论 · 物理学 2007-05-23 Gerald Dunne

The one-loop effective action for 4-dimensional gauged supergravity with negative cosmological constant, is investigated in space-times with compact hyperbolic spatial section. The explicit expansion of the effective action as a power…

高能物理 - 理论 · 物理学 2009-09-17 A. A. Bytsenko , S. D. Odintsov , s. Zerbini

Using cumulant expansion for an averaged Wilson loop we derive an action of the gluodynamics string in the form of a series in powers of the correlation length of the vacuum. In the lowest orders it contains the Nambu-Goto term and the…

高能物理 - 理论 · 物理学 2015-06-26 D. V. Antonov , D. Ebert , Yu. A. Simonov

The worldline casting of a gauge field system with spin-1/2 matter fields has provided a, particle-based, first quantization formalism in the framework of which the Bern-Kosower algorithms for efficient computations in QCD acquire a simple…

高能物理 - 理论 · 物理学 2010-02-03 A. I. Karanikas , C. N. Ktorides

We apply to a lattice version of the 't~Hooft model, QCD in two space-time dimensions for large number of colours, a method recently proposed to obtain an effective mesonic action starting from the fundamental, fermionic one. The idea is to…

高能物理 - 格点 · 物理学 2019-04-25 Sergio Caracciolo , Mauro Pastore

We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the…

高能物理 - 理论 · 物理学 2014-12-08 Sebastián Franchino Viñas , Pablo Pisani

The heat kernel expansion for field theory at finite temperature is constructed. It is based on the imaginary time formalism and applies to generic Klein-Gordon operators in flat space-time. Full gauge invariance is manifest at each order…

高能物理 - 唯象学 · 物理学 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo