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A deterministic model with a large number of continuous and discrete degrees of freedom is described, and a statistical treatment is proposed. The model exactly obeys a Schrodinger equation, which has to be interpreted exactly according to…

Quantum Physics · Physics 2015-06-26 G. 't Hooft

A general form factor formula for the $O(N)\sigma$-model is constructed and applied to several operators. The large N limits of these form factors are computed and compared with the 1/N expansion of the $O(N)\sigma$-model in terms of…

High Energy Physics - Theory · Physics 2016-03-02 Hrachya M. Babujian , Angela Foerster , Michael Karowski

We give a formula for the determinant of an $n\times n$ matrix with entries from a commutative ring with unit. The formula can be evaluated by a "straight-line program" performing only additions, subtractions and multiplications of ring…

Computational Complexity · Computer Science 2022-06-02 Nicholas Pippenger

We study SU(3)-invariant integrable models solvable by nested algebraic Bethe ansatz. We obtain determinant representations for form factors of diagonal entries of the monodromy matrix. This representation can be used for the calculation of…

Mathematical Physics · Physics 2015-06-12 S. Belliard , S. Pakuliak , E. Ragoucy , N. A. Slavnov

A general model independent approach using the `off-shell Bethe Ansatz' is presented to obtain an integral representation of generalized form factors. The general techniques are applied to the quantum sine-Gordon model alias the massive…

High Energy Physics - Theory · Physics 2009-11-07 H. Babujian , M. Karowski

We consider a fermionic determinant associated to a non covariant Quantum Field Theory used to describe a non relativistic system in (1+1) dimensions. By exploiting the freedom that arises when Lorentz invariance is not mandatory, we…

High Energy Physics - Theory · Physics 2016-08-16 Aníbal Iucci , Carlos Naón

The charged and neutral kaon form factors are calculated as a phenomenological application of the QCD Dyson-Schwinger equations. The results are compared with the pion form factor calculated in the same framework and yield…

Nuclear Theory · Physics 2010-03-04 C. J. Burden , C. D. Roberts , M. J. Thomson

An approach for a unified description of the nucleon electromagnetic form factors in spacelike and timelike regions is presented. The main ingredients of our model are: $i)$ a Mandelstam formula for the matrix elements of the nucleon…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. P. B. C. de Melo , T. Frederico , E. Pace , S. Pisano , G. Salme`

We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their…

High Energy Physics - Theory · Physics 2009-10-28 Joakim Hallin , Per Liljenberg

A parameter-free evaluation of the $N - \Delta$ electromagnetic transition form factors is carried out in a light-front constituent quark model, based on $N$ and $\Delta$ eigenstates of a mass operator which reproduces a large set of hadron…

Nuclear Theory · Physics 2009-10-28 F. Cardarelli , E. Pace , G. Salme' , S. Simula

We discuss factorization in exclusive radiative leptonic B->\gamma e\nu decays using the soft-collinear effective theory. The form factors describing these decays can be expanded in a power series in Lambda/E_\gamma with E_\gamma the photon…

High Energy Physics - Phenomenology · Physics 2009-11-07 Enrico Lunghi , Dan Pirjol , Daniel Wyler

We evaluate the fermionic determinant for massless QED_2 at finite temperature, in the imaginary time formalism. By using a decoupling transformation of the fermionic fields, we show that the determinant factorizes into the usual,…

High Energy Physics - Theory · Physics 2007-05-23 C. D. Fosco , R. E. Gamboa Saravi , F. A. Schaposnik

We find the leading order result for the anapole form factor of the deuteron using effective field theory. The momentum dependence of the anapole form factor is different from that of the matrix element of the strange currents in the…

Nuclear Theory · Physics 2009-10-31 Martin J. Savage , Roxanne P. Springer

A new approach to the electroweak properties of two--particle composite systems is developed. The approach is based on the use of the instant form of relativistic Hamiltonian dynamics. The main novel feature of this approach is the new…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. F. Krutov , V. E. Troitsky

We study a matrix product representation of the Bethe ansatz state for the Lieb-Linger model describing the one-dimensional Bose gas with delta-function interaction. We first construct eigenstates of the discretized model in the form of…

Statistical Mechanics · Physics 2014-11-20 Isao Maruyama , Hosho Katsura

The electromagnetic form factors calculated through Euclidean Bethe-Salpeter amplitude and through the light-front wave function are compared with the one found using the Bethe-Salpeter amplitude in Minkowski space. The form factor…

High Energy Physics - Phenomenology · Physics 2009-01-16 V. A. Karmanov , J. Carbonell , M. Mangin-Brinet

We consider the trigonometric Felderhof model, of free fermions in an external field, on a finite lattice with domain wall boundary conditions. The vertex weights are functions of rapidities and external fields. We obtain a determinant…

Mathematical Physics · Physics 2011-02-16 A Caradoc , O Foda , M Wheeler , M Zuparic

Using the point-form approach to relativistic quantum mechanics, a covariant framework is presented for the calculation of proton and neutron electromagnetic form factors. Results for charge radii, magnetic moments, and electric as well as…

Nuclear Theory · Physics 2016-11-23 M. Radici

By representing the field content as well as the particle creation operators in terms of fermionic Fock operators, we compute the corresponding matrix elements of the Federbush model. Only when these matrix elements satisfy the form factor…

High Energy Physics - Theory · Physics 2009-11-07 Olalla Castro-Alvaredo , Andreas Fring

Light-cone sum rules are used to investigate the electromagnetic form factors of the $\Lambda$ and $\Sigma$ baryons by using the Ioffe type interpolating currents. The sum rules are affected to some extent by the choice of the interpolating…

High Energy Physics - Phenomenology · Physics 2009-07-09 Yong-Lu Liu , Ming-Qiu Huang