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In this paper we introduce a current-current type interaction term in the Lagrangian density of gravity coupled to complex scalar fields, in the presence of a degenerated Fermi gas. For low transferred momenta such a term, which might…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Claudio M. G. de Sousa , J. L. Tomazelli

Multiplicity results for solutions of various boundary value problems are known for dynamical systems on compact configuration manifolds, given by Lagrangians or Hamiltonians which have quadratic growth in the velocities or in the momenta.…

Dynamical Systems · Mathematics 2007-05-23 Alberto Abbondandolo , Alessio Figalli

A significant drawback of Lagrangian (particle-tracking) reactive transport models has been their inability to properly simulate interactions between solid and liquid chemical phases, such as dissolution and precipitation reactions. This…

A new dynamical symmetry breaking model of electroweak interactions is proposed based on interacting fermions. Two fermions of different SU_{L}(2) representations form a symmetry breaking condensate and generate the lepton and quark masses.…

High Energy Physics - Phenomenology · Physics 2009-01-07 G. Cynolter , E. Lendvai , G. Pocsik

Physics from beyond the Standard Model, such as leptoquarks, can induce four fermion operators involving a quark, an anti-quark, a lepton and an anti-lepton. We update the (flavour dependent) constraints on the coefficients of such…

High Energy Physics - Phenomenology · Physics 2010-12-15 Michael Carpentier , Sacha Davidson

The geometric Lagrangian theory (of arbitrary order) is based on the analysis of some basic mathematical objects such as: the contact ideal, the (exact) variational sequence, the existence of Euler-Lagrange and Helmholtz-Sonin forms, etc.…

dg-ga · Mathematics 2008-02-03 Dan Radu Grigore

Usually in quantum mechanics the Heisenberg algebra is generated by operators of position and momentum. The algebra is then represented on an Hilbert space of square integrable functions. Alternatively one generates the Heisenberg algebra…

High Energy Physics - Theory · Physics 2007-05-23 Achim Kempf

We present a summary of the results of an explicit calculation of the strength of non-perturbative interactions in matrix models and string effective Lagrangians. These interactions are induced by single eigenvalue instantons in the $d=1$…

High Energy Physics - Theory · Physics 2007-05-23 R. Brustein , M. Faux , B. Ovrut

We propose a new generalization of the standard (anti-)commutation relations for creation and annihilation operators of bosons and fermions. These relations preserve the usual symmetry properties of bosons and fermions. Only the standard…

Mathematical Physics · Physics 2024-09-24 N. I. Stoilova , J. Van der Jeugt

Starting from the Fock space representation of hadron bound states in a quark model, a change of representation is implemented by a unitary transformation such that the composite hadrons are redescribed by elementary-particle field…

High Energy Physics - Phenomenology · Physics 2010-11-19 D. Hadjimichef , G. Krein , S. Szpigel , J. S. da Veiga

Starting with the first-order singular Lagrangian, the problem of the quantization of a dynamical system constrained to a submanifold embedded in the higher-dimensional Euclidean space is investigated within the framework of operatorial…

High Energy Physics - Theory · Physics 2015-06-23 M. Nakamura

We evaluate the contribution of a class of higher-twist operators to the lowest moment of the Structure Functions, by computing appropriate matrix elements of six four-fermion operators in the quenched approximation. Their perturbative…

High Energy Physics - Lattice · Physics 2015-06-25 S. Capitani , M. Göckeler , R. Horsley , B. Klaus , V. Linke , P. Rakow , A. Schäfer , G. Schierholz

The commutation relations for bosons are field independent, and can be reliably inferred from the definition of creation and annihilation operators. Here, the commutation relations are assumed known, and the quantum electrodynamics…

General Physics · Physics 2013-09-13 Bernard R. Durney

Starting with Lagrangians, which turn out to be degenerate, the Hamiltonian operators for integrable systems can be constructed using Dirac's theory of constraints. We illustrate this by giving a systematic discussion of the first…

High Energy Physics - Theory · Physics 2007-05-23 Y. Nutku

We summarize the results of the SU(4) chiral meson Lagrangian approach to the cross section for J/psi breakup by pion and rho meson impact and suggest a new scheme for the introduction of formfactors for the meson-meson interaction. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Ivanov , Y. L. Kalinovsky , D. Blaschke , G. Burau

We study a single matrix oscillator with the quadratic Hamiltonian and deformed commutation relations. It is equivalent to the multispecies Calogero model in one dimension, with inverse-square two-body and three-body interactions.…

High Energy Physics - Theory · Physics 2009-11-10 S. Meljanac , A. Samsarov

We propose a general scheme to construct multiple Lagrangians for completely integrable non-linear evolution equations that admit multi- Hamiltonian structure. The recursion operator plays a fundamental role in this construction. We use a…

High Energy Physics - Theory · Physics 2015-06-26 Y. Nutku , M. V. Pavlov

The present article intends to introduce the sequence of Baskakov-Durrmeyer type operators linked with the generating functions of Boas-Buck type polynomials. After calculating the moments, including the limiting case of central moments of…

Classical Analysis and ODEs · Mathematics 2025-03-05 Naokant Deo , Sandeep Kumar

We present a novel robust framework for systematically constructing $D$-dimensional four-point higher-derivative contact amplitudes. Our modular block ("LEGO"-like) approach builds amplitudes directly from manifestly gauge-invariant…

High Energy Physics - Phenomenology · Physics 2026-04-08 John Joseph M. Carrasco , Sai Sasank Chava , Alex Edison , Aslan Seifi

The integrability of a classical Calogero systems with anti-periodic boundary condition is studied. This system is equivalent to the periodic model in the presence of a magnetic field. Gauge momentum operators for the anti-periodic Calogero…

High Energy Physics - Theory · Physics 2007-05-23 Arindam Chakraborty , Subhankar Ray , J. Shamanna