Strong Coupling Limit of Bethe Ansatz Solutions in Massive Thirring Model

Abstract We provide the two fundamental sets of functional relations which describe the strong coupling limit in AdS3 of scattering amplitudes in $$ \mathcal{N} $$ N = 4 SYM dual to Wilson loops (possibly extended by a non-zero twist l): the basic QQ-system and the derived TQ-system. We use the TQ relations and the knowledge of the main properties of the Q-function (eigenvalue of some Q-operator) to write the Bethe Ansatz equations, viz. a set of (‘complex’) non-linear-integral equations, whose solutions give exact values to the strong coupling amplitudes/Wilson loops. Moreover, they have some advantages with respect to the (‘real’) non-linear-integral equations of Thermodynamic Bethe Ansatz and still reproduce, both analytically and numerically, the findings coming from the latter. In any case, these new functional and integral equations give a larger perspective on the topic also applicable to the realm of $$ \mathcal{N} $$ N = 2 SYM BPS spectra.

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Strong coupling limit of Bethe ansatz equations

Nuclear Physics B ◽

10.1016/j.nuclphysb.2007.06.017 ◽

2008 ◽

Vol 789 (3) ◽

pp. 413-451 ◽

Cited By ~ 37

Author(s):

Ivan Kostov ◽

Didina Serban ◽

Dmytro Volin

Keyword(s):

Bethe Ansatz ◽

Strong Coupling ◽

Strong Coupling Limit

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Bethe-ansatz massive-Thirring-model thermodynamics: The weak-coupling limit

Physical Review B ◽

10.1103/physrevb.26.2519 ◽

1982 ◽

Vol 26 (5) ◽

pp. 2519-2524 ◽

Cited By ~ 14

Author(s):

Xenophon Zotos

Keyword(s):

Bethe Ansatz ◽

Weak Coupling ◽

Weak Coupling Limit ◽

Thirring Model ◽

Massive Thirring Model

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SINE–GORDON THEORY IN THE REPULSIVE REGIME, THERMODYNAMIC BETHE ANSATZ AND MINIMAL MODELS

International Journal of Modern Physics B ◽

10.1142/s0217979212430114 ◽

2012 ◽

Vol 26 (27n28) ◽

pp. 1243011

Author(s):

H. ITOYAMA

Keyword(s):

Bethe Ansatz ◽

Central Charge ◽

Thirring Model ◽

Minimal Models ◽

Massless Limit ◽

Thermodynamic Bethe Ansatz ◽

Massive Thirring Model ◽

Conformal Theory

Neutral excitations present in the repulsive regime (1/2 < β2/8π < 1) of the sine–Gordon/massive–Thirring model and its study of the massless limit by the thermodynamic Bethe ansatz is revisited. At β2/8π = 1-1/(p+1) the solitons become infinitely heavy, forcing truncation to the neutral excitations alone. The central charge in this limit is calculated to be c = 1-6/p(p+1); the mass and S-matrices of the truncated theories are identified as those of the minimal conformal theory Mp perturbed by the ϕ(1, 3) operator.

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Exchange-Correlation Energy Densities and Response Potentials: Connection Between Two Definitions and Analytical Model for the Strong-Coupling Limit of a Stretched Bond

10.26434/chemrxiv.10283678.v1 ◽

2019 ◽

Author(s):

S. Giarrusso ◽

Paola Gori-Giorgi

Keyword(s):

Density Functional Theory ◽

Strong Coupling ◽

Density Functional ◽

Correlation Energy ◽

Order Term ◽

Strong Coupling Limit ◽

Local Form ◽

Coupling Constant ◽

Functional Theory ◽

Exchange Correlation

We analyze in depth two widely used definitions (from the theory of conditional probablity amplitudes and from the adiabatic connection formalism) of the exchange-correlation energy density and of the response potential of Kohn-Sham density functional theory. We introduce a local form of the coupling-constant-dependent Hohenberg-Kohn functional, showing that the difference between the two definitions is due to a corresponding local first-order term in the coupling constant, which disappears globally (when integrated over all space), but not locally. We also design an analytic representation for the response potential in the strong-coupling limit of density functional theory for a model single stretched bond.<br>

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TOPOLOGY OF THE GRASSMANNIAN σ MODEL ON A LATTICE

Modern Physics Letters A ◽

10.1142/s0217732387000744 ◽

1987 ◽

Vol 02 (08) ◽

pp. 601-608 ◽

Cited By ~ 1

Author(s):

T. FUKAI ◽

M. V. ATRE

Keyword(s):

Partition Function ◽

Strong Coupling ◽

Wilson Loop ◽

Strong Coupling Limit ◽

Topological Term

The Grassmannian σ model with a topological term is studied on a lattice. The θ dependence of the partition function and the Wilson loop are evaluated in the strong coupling limit. The latter is shown to be independent of the area at θ = π, as in the CPN−1 model.

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Fundamental limitations of the mode temperature concept in strongly coupled systems

Zeitschrift für Naturforschung A ◽

10.1515/zna-2020-0204 ◽

2020 ◽

Vol 75 (8) ◽

pp. 803-807

Author(s):

Svend-Age Biehs ◽

Achim Kittel ◽

Philippe Ben-Abdallah

Keyword(s):

Heat Transfer ◽

Heat Exchange ◽

Strong Coupling ◽

Quantum Systems ◽

Coupled Systems ◽

Strong Coupling Limit ◽

Strongly Coupled ◽

Fundamental Limitations ◽

Temperature Concept ◽

Vacuum Gap

AbstractWe theoretically analyze heat exchange between two quantum systems in interaction with external thermostats. We show that in the strong coupling limit the widely used concept of mode temperatures loses its thermodynamic foundation and therefore cannot be employed to make a valid statement on cooling and heating in such systems; instead, the incorrectly applied concept may result in a severe misinterpretation of the underlying physics. We illustrate these general conclusions by discussing recent experimental results reported on the nanoscale heat transfer through quantum fluctuations between two nanomechanical membranes separated by a vacuum gap.

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