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Analytical and numerical methods are applied to principal chiral models on a two-dimensional lattice and their predictions are tested and compared. New techniques for the strong coupling expansion of SU(N) models are developed and applied…

高能物理 - 格点 · 物理学 2010-12-21 Paolo Rossi , Ettore Vicari

Sen's action in two dimensions governs a chiral boson coupled to a two-dimensional metric together with a second chiral boson that couples to a flat two-dimensional metric. This second scalar decouples from the physical degrees of freedom.…

高能物理 - 理论 · 物理学 2026-02-02 Chris Hull , Neil Lambert

I discuss the conditions under which the application of chiral perturbation theory to the NN potential gives reliable results for NN scattering phase shifts. ChiPT also yields a convergent expansion for the deuteron charge operator. For…

核理论 · 物理学 2015-05-20 Daniel R. Phillips

A detailed study of the semiclassical expansion of the world line path integral for a charged relativistic particle in a constant external electric field is presented. We show that the Schwinger formula for charged particle pair production…

高能物理 - 理论 · 物理学 2017-10-11 James Gordon , Gordon W. Semenoff

We introduce a hierarchical system of approximations for summing both conventional perturbation theory and large N vector expansions of models in quantum field theory and condensed matter physics. Each stage of the hierarchy consists of a…

强关联电子 · 物理学 2024-10-28 Tom Banks

In this letter we derive formulas for multi point correlation functions, in the thermodynamic limit, for the Lieb Liniger gas taken with respect to arbitrary eigenstates. These results apply for the ground state, thermal states and GGE…

量子气体 · 物理学 2015-07-02 Garry Goldstein , Natan Andrei

Optical chirality density is widely used as a scalar measure of the chiral properties of electromagnetic fields and their interaction with matter. However, in anisotropic and structured media, a single scalar quantity is generally…

光学 · 物理学 2026-05-05 Ilia Smagin , Sergey Dyakov

We extend the previous treatment of Liouville theory on the torus, to the general case in which the distribution of charges is not necessarily symmetric. This requires the concept of Fuchsian differential equation on Riemann surfaces. We…

高能物理 - 理论 · 物理学 2011-07-28 Pietro Menotti

We present a derivation of the Schr\"odinger equation for a path integral of a point particle in a space with curvature and torsion which is considerably shorter and more elegant than what is commonly found in the literature.

高能物理 - 理论 · 物理学 2008-11-26 P. Fiziev , H. Kleinert

We derive the canonical-ensemble scaling of Tan's contact for $N$ harmonically trapped Tonks--Girardeau bosons at finite temperature in the large-$N$ limit. The leading scaling coefficient reproduces the local-density-approximation result…

量子气体 · 物理学 2026-05-27 Felipe Taha Sant'Ana

We apply an integral formula obtained by the author for a general $G$--structure to the case of $G=G_2$. We derive an integral formula relating curvatures and some quadratic invariants of the endomorphism induced by the intrinsic torsion.…

微分几何 · 数学 2021-11-08 Kamil Niedzialomski

Using the language of T-varieties, we study torus invariant curves on a complete normal variety $X$ with an effective codimension-one torus action. In the same way that the $T$-invariant Weil divisors on $X$ are sums of "vertical" divisors…

代数几何 · 数学 2013-07-31 Geoffrey Scott

For the exactly solvable Schwinger model one interesting question is how to infer the exact solution from perturbation theory. We give a systematic procedure of deriving the exact solution from Feynman diagrams of arbitrary order for…

高能物理 - 唯象学 · 物理学 2015-06-25 Christoph Adam

In this paper, we have proposed a new method for solving the Gaussian integral. Introducing a parameter that depends on a $n$ index, we have found a general solution for this type of integral inspired by Taylor series of a simple function.…

We obtain explicit expressions for all genus one chiral n-point functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions.

量子代数 · 数学 2009-11-07 Geoffrey Mason , Michael P. Tuite

In the large N limit, conditions for the conformal invariance of the generalized Thirring model are derived, using two different approaches: the background field method and the Hamiltonian method based on an operator algebra, and the…

高能物理 - 理论 · 物理学 2009-10-28 Korkut Bardakci , Luis M. Bernardo

En effective chiral theory of large N_C QCD of pseudoscalar, vector, and axial-vector mesons is reviewed.

高能物理 - 唯象学 · 物理学 2017-08-23 Bing An Li

The superposition of the Kepler-Coulomb potential on the 3D Euclidean space with three centrifugal terms has recently been shown to be maximally superintegrable [Verrier P E and Evans N W 2008 J. Math. Phys. 49 022902] by finding an…

数学物理 · 物理学 2015-05-13 Angel Ballesteros , Francisco J. Herranz

We consider a family of $\mathcal{N}=2$ superconformal field theories in four dimensions, defined as $\mathbb{Z}_q$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a…

高能物理 - 理论 · 物理学 2023-01-11 Francesco Galvagno , Michelangelo Preti

Chiral symmetry is used as the guiding principle to derive hard thermal loop effects in chiral perturbation theory. This is done by using a chiral invariant background field method for the non-linear sigma model and the Wess-Zumino-Witten…

高能物理 - 唯象学 · 物理学 2009-10-30 Cristina Manuel