Zobrazeno 1 - 10
of 264
pro vyhledávání: '"Basu-Mallick, B."'
Publikováno v:
J. High Energy Phys. 11 (2023) 018(33)
A coupled massive Thirring model of two interacting Dirac spinors in $1+1$ dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1,1) version of the Grassmannian Thirring model also introduced in
Externí odkaz:
http://arxiv.org/abs/2307.03626
Autor:
Basu-Mallick, B., Sinha, Debdeep
A coupled bosonic massive Thirring model (BMTM), involving an interaction between the two independent spinors, is introduced and shown to be integrable. By incorporating suitable reductions between the field components of the coupled BMTM, five novel
Externí odkaz:
http://arxiv.org/abs/2307.00351
Publikováno v:
J. High Energy Phys. 2020, 99 (2020)
We introduce a new class of open, translationally invariant spin chains with long-range interactions depending on both spin permutation and (polarized) spin reversal operators, which includes the Haldane-Shastry chain as a particular degenerate case.
Externí odkaz:
http://arxiv.org/abs/2003.07217
Publikováno v:
J. Stat. Mech.-Theory E. (2019) 073104(43)
We analyze the thermodynamics and the critical behavior of the supersymmetric su($m$) $t$-$J$ model with long-range interactions. Using the transfer matrix formalism, we obtain a closed-form expression for the free energy per site both for a finite n
Externí odkaz:
http://arxiv.org/abs/1903.12541
Publikováno v:
J. Stat. Mech.-Theory E. (2019) 043105(27)
We study the spectrum of the long-range supersymmetric su$(m)$ $t$-$J$ model of Kuramoto and Yokoyama in the presence of an external magnetic field and a charge chemical potential. To this end, we first establish the precise equivalence of a large cl
Externí odkaz:
http://arxiv.org/abs/1811.10297
Akademický článek
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Autor:
Basu-Mallick, B., Datta, C.
Publikováno v:
Nuclear Physics B 921 (2017) 59-85
As is well known, multivariate Rogers-Szeg\"o polynomials are closely connected with the partition functions of the $A_{N-1}$ type of Polychronakos spin chains having long-range interactions. Applying the `freezing trick', here we derive the partitio
Externí odkaz:
http://arxiv.org/abs/1704.00635
By using the technique of supersymmetric quantum mechanics, we study a quasi exactly solvable extension of the N-particle rational Calogero model with harmonic confining interaction. Such quasi exactly solvable many particle system, whose effective p
Externí odkaz:
http://arxiv.org/abs/1609.05781
Publikováno v:
Nuclear Physics B 904 (2016) 297
We derive the exact spectra as well as partition functions for a class of $BC_N$ type of spin Calogero models, whose Hamiltonians are constructed by using supersymmetric analogues of polarized spin reversal operators (SAPSRO). The strong coupling lim
Externí odkaz:
http://arxiv.org/abs/1511.05909
Publikováno v:
Nucl. Phys. B 898 (2015) 53-77
We study the spin Calogero model of D_N type with polarized spin reversal operators, as well as its associated spin chain of Haldane-Shastry type, both in the antiferromagnetic and ferromagnetic cases. We compute the spectrum and the partition functi
Externí odkaz:
http://arxiv.org/abs/1503.08231