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The idea of adaptive perturbation theory is to divide a Hamiltonian into a solvable part and a perturbation part. The solvable part contains the non-interacting sector and the diagonal elements of Fock space from the interacting terms. The…

Quantum Physics · Physics 2021-06-14 Xin Guo

In this paper, higher-order perturbation theory is applied and tailored to one-dimensional ring-shaped Bose-Hubbard systems. Spectral and geometrical properties are used to structurally simplify the contributions and reduce computational…

Quantum Gases · Physics 2025-06-04 Meret Preuß

We develop a second order correction to commonly used density functional approximations (DFA) to eliminate the systematic delocalization error. The method, based on the previously developed global scaling correction (GSC), is an exact…

Chemical Physics · Physics 2021-07-22 Yuncai Mei , Zehua Chen , Weitao Yang

In the previous paper [arXiv:2210.10435], the nonlinear perturbation theory of cosmological density field is generalized to include the tensor-valued bias of astronomical objects, such as spins and shapes of galaxies and any other tensors…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-23 Takahiko Matsubara

We present a computation of QCD next-to-leading order virtual corrections to the top production and decay process at linear colliders. The top quarks are allowed to be off-shell and the production and decay subprocesses are treated…

High Energy Physics - Phenomenology · Physics 2009-11-07 Cosmin Macesanu

We present an effective field theory of multiparticle correlations based on analogy with Ginzburg-Landau theory of superconductivity. We assume that the field represents particle density fluctuations, and show that in the case of…

High Energy Physics - Phenomenology · Physics 2008-02-03 I. Sarcevic , H. C. Eggers , H. Th. Elze

We explain how nonperturbative effects can be systematically included when constructing an effective field theory. We concentrate in particular on the matching calculation, by which a low energy theory without a heavy particle degree of…

High Energy Physics - Phenomenology · Physics 2009-09-11 Howard Georgi , Samuel T. Osofsky

We present a model-independent approach to electric quadrupole transitions of deformed nuclei. Based on an effective theory for axially symmetric systems, the leading interactions with electromagnetic fields enter as minimal couplings to…

Nuclear Theory · Physics 2015-07-29 E. A. Coello Pérez , T. Papenbrock

A nonperturbative correction to the thermal nucleation rate of critical bubbles in a first order phase transition is estimated. The correction originates from large-amplitude fluctuations which may be present before the transition occurs.…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marcelo Gleiser , Andrew F. Heckler

The processes $e^{+}e^{-} \to 4f(\gamma)$ mediated by W-pair (and single) production are considered in the framework of the modified perturbation theory, based on the expansion of probability in powers of the coupling constant instead of…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. L. Nekrasov

A non-perturbative method which can go beyond the weak coupling perturbation theory is introduced. Essential idea is to formulate a set of exact differential equations as a function of the coupling strength $g$. Unlike other resummation in…

Quantum Physics · Physics 2011-03-21 Tomoya Hayata

We examine the endpoint region of inclusive deep inelastic scattering at next-to-leading power (NLP). Using a soft-collinear effective theory approach with no explicit soft or collinear modes, we discuss the factorization of the cross…

High Energy Physics - Phenomenology · Physics 2023-04-24 Michael Luke , Jyotirmoy Roy , Aris Spourdalakis

The concept of effective particles as degrees of freedom in a relativistic quantum field theory is defined using a non-perturbative renormalization group procedure for Hamiltonians. However, every candidate for a basic physical theory…

High Energy Physics - Theory · Physics 2013-01-30 Stanislaw D. Glazek

We consider the problem of improving the effective potential in mass independent schemes, as e.g. the $\MSbar$ or $\DRbar$ renormalization scheme, in the presence of an arbitrary number of fields with $\phi$-dependent masses $M_i(\phi_c)$.…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. A. Casas , V. Di Clemente , M. Quiros

We report on the first results for the second-order perturbation theory correction to the ground-state energy of a nuclear many-body system in a continuum quantum Monte Carlo calculation. Second-order (and higher) perturbative corrections…

Nuclear Theory · Physics 2023-11-10 Ryan Curry , Joel E. Lynn , Kevin E. Schmidt , Alexandros Gezerlis

First and second order corrections for the scattering of different types of particles by a weak gravitational field, treated as an external field, are calculated. These computations indicate a violation of the Equivalence Principle: to…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Ricardo Paszko

We study the problem of decoupling of heavy chiral superfields in four-dimensional $N=1$ supersymmetric field theories with Lorentz-invariant and Lorentz-violating higher-derivative terms. We demonstrate that the earlier found effect of…

High Energy Physics - Theory · Physics 2015-11-04 M. Cvetic , T. Mariz , A. Yu. Petrov

Two-nucleon effective field theory (EFT) beyond momenta of order the pion mass is studied for both cutoff regularization and dimensional regularization with power divergence subtraction (PDS). Models with two mass scales illustrate how…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

We address the issue of large-order expansions in strong-field QED. Our approach is based on the one-loop effective action encoded in the associated photon polarisation tensor. We concentrate on the simple case of crossed fields aiming at…

High Energy Physics - Theory · Physics 2009-11-11 Thomas Heinzl , Oliver Schroeder

Effective field theory is applied to finite-density systems with an unnaturally large scattering length, such as neutron matter. A new organizational scheme is identified and connected with an expansion in inverse powers of the number of…

Nuclear Theory · Physics 2007-05-23 James V. Steele