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We study a generalization of the Schramm-Loewner evolution loop measure to pairs of non-intersecting Jordan curves on the Riemann sphere. We also introduce four equivalent definitions for a two-loop Loewner potential: respectively…

复变函数 · 数学 2025-07-01 Yan Luo , Sid Maibach

The Maxwell-Chern-Simons gauge theory with charged scalar fields is analyzed at two loop level. The effective potential for the scalar fields is derived in the closed form, and studied both analytically and numerically. It is shown that the…

高能物理 - 理论 · 物理学 2009-10-30 Pang-Ning Tan , Bayram Tekin , Yutaka Hosotani

The two-loop (Euler-Heisenberg-type) effective action for N = 2 supersymmetric QED is computed using the N = 1 superspace formulation. The effective action is expressed as a series in supersymmetric extensions of F^{2n}, where n=2,3,...,…

高能物理 - 理论 · 物理学 2009-11-10 S. M. Kuzenko , I. N. McArthur

An algorithm for the reduction of one-loop n-point tensor integrals to basic integrals is proposed. We transform tensor integrals to scalar integrals with shifted dimension and reduce these by recurrence relations to integrals in generic…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Fleischer , F. Jegerlehner , O. V. Tarasov

The existence of a finite basis of algebraically independent one-loop integrals has underpinned important developments in the computation of one-loop amplitudes in field theories and gauge theories in particular. We give an explicit…

高能物理 - 理论 · 物理学 2011-10-19 Janusz Gluza , Krzysztof Kajda , David A. Kosower

We compute the one-loop non-holomorphic effective potential for the N=4 SU(n) supersymmetric Yang-Mills theory with the gauge symmetry broken down to the maximal torus. Our approach remains powerful for arbitrary gauge groups and is based…

高能物理 - 理论 · 物理学 2009-10-31 E. I. Buchbinder , I. L. Buchbinder , S. M. Kuzenko

We study a class of perturbative scalar quantum field theories where dynamics is characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional order and the underlying spacetime has a varying spectral dimension.…

高能物理 - 理论 · 物理学 2021-08-16 Gianluca Calcagni

We study the {\it quasi-classical limit} of a quantum system composed of finitely many non-relativistic particles coupled to a quantized field in Nelson-type models. We prove that, as the field becomes classical and the corresponding…

数学物理 · 物理学 2018-08-08 Michele Correggi , Marco Falconi

In N=2 superconformal field theories the Kahler potential is known to be tree level exact. The beta-deformation of N=4 SU(N) SYM reduces the amount of supersymmetry to N=1, allowing for non-trivial, superconformal loop corrections to the…

高能物理 - 理论 · 物理学 2014-11-18 Simon J. Tyler

We briefly review the technology involved in extracting the field-theory limit of multiloop bosonic string amplitudes, and we apply it to the evaluation of simple two-loop diagrams involving scalars and gauge bosons.

高能物理 - 唯象学 · 物理学 2016-09-06 Lorenzo Magnea , Rodolfo Russo

Recasting the $N$-point one loop scalar integral as a probabilistic problem, allows the derivation of integral recurrence relations as well as exact analytical expressions in the most common cases. $\epsilon$ expansions are derived by…

数学物理 · 物理学 2017-05-24 Kamel Benhaddou

We explain a conjecture which states that the proper-time series expansion of the one-loop effective Lagrangian of quantum electrodynamics can be partially summed in all terms containing the field-strength invariants $\mathcal{F} =…

高能物理 - 理论 · 物理学 2021-10-06 Silvia Pla , Jose Navarro-Salas

The idea we advocate in this paper is that the one-loop effective action of a free (massive) field theory coupled to external sources (via conserved currents) contains complete information about the classical dynamics of such sources. We…

高能物理 - 理论 · 物理学 2017-02-01 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , B. Lima De Souza , T. Stemberga

We present compact, fully analytical expressions for singular parts of a class of three-loop diagrams which cannot be factorized into lower-loop integrals. As a result of the calculations we obtain the analytical expression for the…

高能物理 - 唯象学 · 物理学 2014-11-17 A. V. Kotikov

We extend the soft theorems for scattering amplitudes of scalar effective field theories to one-loop order. Our analysis requires carefully accounting for the fact that the soft limit is not guaranteed to commute with evaluating…

高能物理 - 理论 · 物理学 2025-04-18 Timothy Cohen , Ipak Fadakar , Andreas Helset , Filippo Nardi

We have considered phi^4 theory in higher dimensions. Using functional diagrammatic approach, we computed the one-loop correction to effective potential of the scalar field in five dimensions. It is shown that phi^4 theory can be…

高能物理 - 理论 · 物理学 2008-11-26 Rizwan Ul Haq Ansari , P K Suresh

I present results for the two-loop self-energy functions for scalars in a general renormalizable field theory, using mass-independent renormalization schemes based on dimensional regularization and dimensional reduction. The results are…

高能物理 - 唯象学 · 物理学 2009-11-10 Stephen P. Martin

We compute one-loop correlation functions for the fluctuations of an interface using a field theory model. We obtain them from Feynman diagrams drawn with a propagator which is the inverse of the Hamiltonian of a Poschl-Teller problem. We…

高能物理 - 唯象学 · 物理学 2009-11-10 A. Bessa , C. A. A. de Carvalho , E. S. Fraga

We consider a theory of a scalar one-component field $\phi$ coupled to a scalar $N$-component field $\chi$. Using large $N$ techiques we calculate the effective potential in the leading order in $1/N$. We show that this is equivalent to a…

高能物理 - 理论 · 物理学 2010-11-01 J. A. Adams , N. Tetradis

We review the approach to calculation of one-loop effective action in ${\cal N}=2,4$ SYM theories. We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in ${\cal N}=2$, SU(2) SYM theory coupled…

高能物理 - 理论 · 物理学 2009-12-30 A. T. Banin , I. L. Buchbinder , N. G. Pletnev
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