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The conformal symmetry of the QCD Lagrangian for massless quarks is broken both by renormalization effects and the gauge fixing procedure. Renormalized primitive divergent amplitudes have the property that their form away from the overall…

High Energy Physics - Theory · Physics 2009-10-08 Daniel Z. Freedman , Gianluca Grignani , Nuria Rius , Kenneth Johnson

Variational (Rayleigh-Ritz) methods are applied to local quantum field theory. For scalar theories the wave functional is parametrized in the form of a superposition of Gaussians and the expectation value of the Hamiltonian is expressed in…

High Energy Physics - Theory · Physics 2016-08-25 George Tiktopoulos

In this short note we show that any action for $N$ interacting particles can be made invariant under gauged Galilean transformations. While resulting Lagrangian is generally very complicated its Hamiltonian has simple form with first class…

High Energy Physics - Theory · Physics 2026-04-14 J. Kluson

We study spin fluctuations in quarter-filled one-dimensional spin-density-wave systems in presence of short-range Coulomb interactions. By applying a path integral method, the spin-wave velocity is calculated as a function of on-site (U),…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Tomio , N. Dupuis , Y. Suzumura

In effective single-electron theories, self-interaction manifests itself through the unphysical dependence of the energy of an electronic state as a function of its occupation, which results in important deviations from the ideal Koopmans…

Materials Science · Physics 2009-01-20 I. Dabo , M. Cococcioni , N. Marzari

Strong coupling constant computed in Landau gauge and MOM renormalization scheme from lattice two and three gluon Green Functions exhibits an unexpected behavior in the deep IR, showing a maximum value around $1 {\rm GeV}$. We analise this…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ph. Boucaud , F. De Soto , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pene , J. Rodriguez-Quintero

We use the Negele-Vautherin density matrix expansion to derive a quasi-local density functional for the description of systems of fermions interacting with short-ranged interactions composed of arbitrary finite-range central, spin-orbit,…

Nuclear Theory · Physics 2010-07-21 J. Dobaczewski , B. G. Carlsson , M. Kortelainen

In this paper, we obtain bounds on the Wilson loop expectations in 4D $U(1)$ lattice gauge theory which quantify the effect of topological defects. In the case of a Villain interaction, by extending the non-perturbative technique introduced…

Probability · Mathematics 2021-10-04 Christophe Garban , Avelio Sepúlveda

We propose a new class of single-field scalar quantum field theories with non-polynomial interactions leading to a two-point Green's function that can be naturally continued beyond the naive cutoff scale. This provides a new prospect for…

High Energy Physics - Theory · Physics 2023-12-22 Mikhail Shaposhnikov , Sebastian Zell

We calculate the local correlation functions of charge and spin for the one-chain and two-chain Hubbard model using the density matrix renormalization group method and the recursion technique. Keeping only finite number of states we get…

Strongly Correlated Electrons · Physics 2009-10-31 Youngho Park , Shoudan Liang

For an integral functional defined on functions $(u,v)\in W^{1,1}\times L^1$ featuring a prototypical strong interaction term between $u$ and $v$, we calculate its relaxation in the space of functions with bounded variations and Radon…

Analysis of PDEs · Mathematics 2021-07-28 Stefan Krömer , Martin Kružík , Elvira Zappale

In this work we employ a field theoretical approach to explain the nature of the non-conserved spin current in spintronics. In particular, we consider the usual U(1) gauge theory for the electromagnetism at classical level in order to…

High Energy Physics - Theory · Physics 2017-09-14 R. F. Sobreiro , V. J. Vasquez Otoya

We verify that the van der Waals interaction and hence all dispersion interactions for the hydrogen molecule given by: W"= -{A/R^6}-{B/R^8}-{C/R^10}- ..., in which R is the internuclear separation, are exactly soluble. The constants…

Quantum Physics · Physics 2011-08-05 T. C. Choy

The effective electron-electron interaction in the electron gas depends on both the density and spin local field factors. Variational Diagrammatic Quantum Monte Carlo calculations of the spin local field factor are reported and used to…

Quantum Gases · Physics 2021-01-27 Carl A. Kukkonen , Kun Chen

Van der Waals interactions between two neutral but polarizable systems at a separation $R$ much larger than the typical size of the systems are at the core of a broad sweep of contemporary problems in settings ranging from atomic, molecular…

High Energy Physics - Phenomenology · Physics 2017-06-14 Nora Brambilla , Vladyslav Shtabovenko , Jaume Tarrús Castellà , Antonio Vairo

The persistent current and charge stiffness of a one-dimensional Luttinger liquid on a ring threaded by a magnetic flux are calculated by Monte Carlo simulation. By changing the random impurity potential strength and the electron-electron…

Condensed Matter · Physics 2009-10-22 Hiroyuki Mori

We study local spin polarization in the relativistic hydrodynamic model. Generalizing the Wigner functions previously obtained from chiral kinetic theory by Y. Hidaka et al. [Phys. Rev. D 97, 016004 (2018)] to the massive case, we present…

High Energy Physics - Phenomenology · Physics 2021-12-28 Cong Yi , Shi Pu , Di-Lun Yang

The prominence of density functional theory (DFT) in the field of electronic structure computation stems from its ability to usefully balance accuracy and computational effort. At the base of this ability is a functional of the electron…

We use a symmetry-preserving regularization method of ultraviolet divergences in a vector-vector contact interac- tion model for low-energy QCD. The contact interaction is a representation of nonperturbative kernels used Dyson-Schwinger and…

Nuclear Theory · Physics 2016-07-14 F. E. Serna , M. A. Brito , G. Krein

We study a model of fermions interacting with a gauge field and calculate gauge-invariant two-particle Green's functions or response functions. The leading singular contributions from the self-energy correction are found to be cancelled by…

Condensed Matter · Physics 2009-10-22 Yong Baek Kim , Akira Furusaki , Xiao-Gang Wen , Patrick A. Lee