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An exact form is presented for the axial-vector Bethe-Salpeter equation, which is valid when the quark-gluon vertex is fully dressed. A Ward-Takahashi identity for the Bethe-Salpeter kernel is derived therefrom and solved for a class of…

核理论 · 物理学 2009-09-02 Lei Chang , Craig D. Roberts

We review self-consistent spectral methods for nuclear matter calculations. The in-medium T-matrix approach is conserving and thermodynamically consistent. It gives both the global and the single-particle properties the system. The T-matrix…

核理论 · 物理学 2009-11-11 P. Bozek

We consider the dressed energy $\varepsilon$ of the XXZ chain in the massless antiferromagnetic parameter regime at $0 < \Delta < 1$ and at finite magnetic field. This function is defined as a solution of a Fredholm integral equation of the…

数学物理 · 物理学 2024-06-14 Saskia Faulmann , Frank Göhmann , Karol K. Kozlowski

A novel method for constructing a Bethe-Salpeter kernel for the meson bound-state problem is described. It produces a closed-form kernel that is symmetry-consistent (discrete and continuous) with the gap equation defined by any admissible…

高能物理 - 唯象学 · 物理学 2021-08-11 Si-Xue Qin , Craig D. Roberts

The Bethe-Salpeter formalism in the instantaneous approximation for the interaction kernel entering into the Bethe-Salpeter equation represents a reasonable framework for the description of bound states within relativistic quantum field…

高能物理 - 唯象学 · 物理学 2009-10-31 Wolfgang Lucha , Khin Maung Maung , F. F. Schoberl

A Ward-Takahashi identity preserving Bethe-Salpeter kernel can always be calculated explicitly from a dressed-quark-gluon vertex whose diagrammatic content is enumerable. We illustrate that fact using a vertex obtained via the complete…

核理论 · 物理学 2010-02-17 A. Bender , W. Detmold , C. D. Roberts , A. W. Thomas

The Bethe-Salpeter equation for bound states of a fermion-antifermion pair in the instantaneous approximation for the involved interaction kernel is converted into an equivalent matrix eigenvalue problem with explicitly (algebraically)…

高能物理 - 唯象学 · 物理学 2007-05-23 Wolfgang Lucha , Khin Maung Maung , F. F. Schoberl

We consider a system consisting of an atom in the dipole approximation, coupled to the electromagnetic field. Using recently introduced renormalized coordinates and dressed states, we give a non-perturbative solution to the atom radiation…

原子物理 · 物理学 2009-11-10 G. Flores-Hidalgo , A. P. C. Malbouisson

Building on a beyond-GW many-body framework that incorporates higher-order vertex effects in the self-energy -- giving rise to T-matrix and second-order exchange contributions -- this approach is extended to now include the vertex derived…

计算物理 · 物理学 2025-05-14 Brian Cunningham

The problem of calculating of the mass spectrum of the two-body Bethe-Salpeter equation is studied with no reduction to the three-dimensional ("quasipotential") equation. The method to find the ground state and excited states for a channel…

高能物理 - 唯象学 · 物理学 2015-06-25 A. Yu. Umnikov , F. C. Khanna

The Salpeter equation, a standard tool in hadron physics, constitutes a well-defined three-dimensional approximation to the Bethe-Salpeter formalism for the description of bound states within quantum field theories. However, if confinement…

高能物理 - 唯象学 · 物理学 2011-06-15 Wolfgang Lucha

The dressed atom approach provides a tool to investigate the dynamics of an atom-laser system by fully retaining the quantum nature of the coherent mode. In its standard derivation, the internal atom-laser evolution is described within the…

量子物理 · 物理学 2024-09-17 Francesco V. Pepe , Karolina Słowik

We apply a dressed perturbation theory to better organize and economize the computation of high orders of the 2-body effective action of an inspiralling Post-Newtonian gravitating binary. We use the effective field theory approach with the…

高能物理 - 理论 · 物理学 2010-01-07 Barak Kol , Michael Smolkin

A method for integrating the chemical equations associated with nuclear combustion at high temperature is presented and extensively checked. Following the idea of E. M\"uller, the feedback between nuclear rates and temperature was taken…

天体物理学 · 物理学 2007-05-23 Ruben M. Cabezon Gomez , Domingo Garcia-Senz , Eduardo Bravo

A thermal extension of the relativistic nuclear field theory is formulated for the nuclear response. The Bethe-Salpeter equation (BSE) with the time-dependent kernel for the particle-hole response is treated within the Matsubara Green's…

核理论 · 物理学 2019-12-24 Elena Litvinova , Herlik Wibowo

The Bethe-Salpeter (BS) equation in the ladder approximation is studied within a scalar theory: two scalar fields (constituents) with mass $m$ interacting via an exchange of a scalar field (tieon) with mass $\mu$. The BS equation is written…

高能物理 - 唯象学 · 物理学 2009-11-10 G. V. Efimov

The nucleon spectral function in nuclear matter fulfills an energy weighted sum rule. Comparing two different realistic potential, these sum rules are studied for Green's functions that are derived self-consistently within the $T$ matrix…

核理论 · 物理学 2009-11-10 T. Frick , H. Müther , A. Polls

We discuss some of the challenges that future nuclear modeling may face in order to improve the description of the nuclear structure. One challenge is related to the need for A-body nuclear interactions justified by various contemporary…

核理论 · 物理学 2024-06-19 V. G. Gueorguiev , P. Navratil , J. P. Vary , J. P. Draayer , F. Pan

The CONNECTED VERTEX COVER problem asks for a vertex cover in a graph that induces a connected subgraph. The problem is known to be fixed-parameter tractable (FPT), and is unlikely to have a polynomial sized kernel (under complexity…

数据结构与算法 · 计算机科学 2018-10-08 R. Krithika , Diptapriyo Majumdar , Venkatesh Raman

We study the behaviour of the interacting particle system, arising from the Bak-Sneppen model and Jante's law process. Let $N$ vertices be placed on a circle, such that each vertex has exactly two neighbours. To each vertex assign a real…

概率论 · 数学 2020-09-28 Philip Kennerberg , Stanislav Volkov
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