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Related papers: Analytic Perturbation Theory for QCD observables

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We compare metrics obtained through analytic perturbation theory with their numerical counterparts. The analytic solutions are computed with the CMMR post-Minkowskian and slow rotation approximation due to Cabezas et al. (2007) for an…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Javier E. Cuchí , Alfred Molina , Eduardo Ruiz

Perturbative QFT is developed in terms of off-shell fields (that is, functionals on the configuration space not restricted by any field equation), and by quantizing the (underlying) free theory by an $\hbar$-dependent deformation of the…

Mathematical Physics · Physics 2023-08-24 Michael Duetsch

The goal of research is to devise a modification of the perturbative QCD that should be regular in the low-energy region and could serve as a practical means for the analysis of data below 1 \GeV up to the IR limit. Recent observation of…

High Energy Physics - Theory · Physics 2015-06-11 D. V. Shirkov

This paper investigates the principal spectral theory and the asymptotic behavior of the principal spectrum point for a class of time-periodic cooperative systems with nonlocal dispersal operators, incorporating both coupled and uncoupled…

Analysis of PDEs · Mathematics 2026-02-11 Hao Wu , Wan-Tong Li , Jian-Wen Sun , Hoang-Hung Vo

Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of…

Mathematical Physics · Physics 2007-05-23 Hans Halvorson , Michael Mueger

The power spectrum analysis of spectral fluctuations in complex wave and quantum systems has emerged as a useful tool for studying their internal dynamics. In this paper, we formulate a nonperturbative theory of the power spectrum for…

Mathematical Physics · Physics 2020-01-23 Roman Riser , Vladimir Al. Osipov , Eugene Kanzieper

In this work we explicitly show that the perturbative unitarity of analytic infinite derivative (AID) scalar field theories can be achieved using a modified prescription for computing scattering amplitudes. The crux of the new prescription…

High Energy Physics - Theory · Physics 2022-03-21 Alexey S. Koshelev , Anna Tokareva

A comprehensive review is presented of the progress made in further developing the ghost-free Analytic Approach to low-energy QCD since "QCD-97" meeting. It is now formulated as a logically closed ``Analytic Perturbation Theory" algorithm.…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. V. Shirkov

Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates of quantum mechanical Hamiltonians that heretofore were not believed to be obtainable by such methods. The novel feature of adaptive…

High Energy Physics - Theory · Physics 2007-05-23 Marvin Weinstein

We present a non-perturbative method through which local probes can access the two-point function of a quantum field within a region of spacetime. By considering a lattice of gapless particle detectors, we identified the probe observables…

Quantum Physics · Physics 2026-05-20 Sebastian Holmén , T. Rick Perche

We develop a unified spectral-semigroup framework that connects real-time and imaginary-time quantum dynamics through analytic continuation. Within this formulation, evolution is expressed as an exponential reweighting of spectral…

Applied Physics · Physics 2026-05-12 Pengfei Zhu

By introducing auxiliary fields, which by their quantum numbers vanish in perturbation theory, we relate the dynamical perturbation theory of Pagels and Stokar and a successful gauged nonlocal constituent quark model to $U(N)$ gauge theory…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. Holdom , Qing Wang

General and explicit predictions from the integrated perturbation theory (iPT) for power spectra and correlation functions of biased tracers are derived and presented in the one-loop approximation. The iPT is a general framework of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-05 Takahiko Matsubara

The paper contains successive description of the strong-coupling perturbation theory. Formal realization of the idea is based on observation that the path-integrals measure for absorption part of amplitudes $\R$ is Diracian ($\d$-like). New…

High Energy Physics - Theory · Physics 2007-05-23 J. Manjavidze , A. Sissakian

In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects and shot-noise corrections, using perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

We introduce the framework of Quantum Field Theories in general backgrounds through the lens of the path integral, in the formulation known as the Functorial QFT. With the aim of studying properties of strongly coupled QFTs, we present key…

High Energy Physics - Theory · Physics 2026-05-07 Jonáš Dujava

The low energy behavior of a recently proposed model for the massive analytic running coupling of QCD is studied. This running coupling has no unphysical singularities, and in the absence of masses displays infrared enhancement. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko , J. Papavassiliou

Two-parameter perturbation theory (2PPT) is a framework designed to include the relativistic gravitational effects of small-scale nonlinear structures on the large-scale properties of the Universe. In this paper we use the 2PPT framework to…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Christopher S. Gallagher , Timothy Clifton , Chris Clarkson

Following a previous calculation of quark scattering in eikonal approximation, this paper presents a new, analytic and rigorous approach to the calculation of QCD phenomena. In this formulation a basic distinction between the conventional…

High Energy Physics - Phenomenology · Physics 2015-01-20 H. M. Fried , T. Grandou , Y. -M. Sheu

We develop the idea of an effective conformal theory describing the low-lying spectrum of the dilatation operator in a CFT. Such an effective theory is useful when the spectrum contains a hierarchy in the dimension of operators, and a small…

High Energy Physics - Theory · Physics 2011-10-11 A. Liam Fitzpatrick , Emanuel Katz , David Poland , David Simmons-Duffin
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