Operator expression for the Koba and Nielsen multi-veneziano formula and gauge identities

1970 ◽  
Vol 21 (1) ◽  
pp. 192-204 ◽  
Author(s):  
J Gervais
1968 ◽  
Vol 21 (25) ◽  
pp. 1724-1728 ◽  
Author(s):  
Stanley Mandelstam
Keyword(s):  

1969 ◽  
Vol 184 (5) ◽  
pp. 1954-1955 ◽  
Author(s):  
T. J. Nelson

1969 ◽  
Vol 1 (12) ◽  
pp. 568-570
Author(s):  
C. A. Ferrari ◽  
A. H. Zimerman

2019 ◽  
Vol 6 (1) ◽  
Author(s):  
Andrew Urichuk ◽  
Yahya Oez ◽  
Andreas Klümper ◽  
Jesko Sirker

Based on a generalized free energy we derive exact thermodynamic Bethe ansatz formulas for the expectation value of the spin current, the spin current-charge, charge-charge correlators, and consequently the Drude weight. These formulas agree with recent conjectures within the generalized hydrodynamics formalism. They follow, however, directly from a proper treatment of the operator expression of the spin current. The result for the Drude weight is identical to the one obtained 20 years ago based on the Kohn formula and TBA. We numerically evaluate the Drude weight for anisotropies \Delta=\cos(\gamma)Δ=cos(γ) with \gamma = \pi n/mγ=πn/m, n\leq mn≤m integer and coprime. We prove, furthermore, that the high-temperature asymptotics for general \gamma=\pi n/mγ=πn/m—obtained by analysis of the quantum transfer matrix eigenvalues—agrees with the bound which has been obtained by the construction of quasi-local charges.


2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Z. I. Ismailov ◽  
P. Ipek

By using the methods of operator theory, all solvable extensions of minimal operator generated by first order pantograph-type delay differential-operator expression in the Hilbert space of vector-functions on finite interval have been considered. As a result, the exact formula for the spectrums of these extensions is presented. Applications of obtained results to the concrete models are illustrated.


1969 ◽  
Vol 181 (5) ◽  
pp. 2095-2097 ◽  
Author(s):  
Francesco Drago ◽  
Satoshi Matsuda
Keyword(s):  

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