scholarly journals INTEGRABILITY AND DUALITY IN TWO-DIMENSIONAL QCD

1995 ◽  
Vol 10 (11) ◽  
pp. 1611-1640 ◽  
Author(s):  
E. ABDALLA ◽  
M.C.B. ABDALLA
Keyword(s):  
Hilbert Space ◽  
Quantum Theory ◽  
Strong Coupling ◽  
Integrability Condition ◽  
Strong Coupling Limit ◽  
Two Dimensional ◽  
Gauge Invariant ◽  
Type Transformation

We consider bosonized QCD2, and prove that after one rewrites the theory in terms of gauge-invariant fields, there exists an integrability condition that is valid for the quantum theory as well. Furthermore, performing a duality type transformation we obtain an appropriate action for the description of the strong coupling limit, which is still integrable. We also prove that the model displays a complicated set of constraints, which restrict the dynamics of part of the theory, but which are necessary for maintaining the positive metric Hilbert space.

Effective Locality QCD calculations and the Gribov copy problem

2020 ◽  
Vol 35 (27) ◽  
pp. 2050230 ◽  
Author(s):  
T. Grandou ◽  
R. Hofmann
Keyword(s):  
Gauge Field ◽  
Strong Coupling ◽  
Degrees Of Freedom ◽  
Green's Functions ◽  
Green’S Functions ◽  
Strong Coupling Limit ◽  
Unexpected Result ◽  
Remarkable Property ◽  
Gauge Invariant

Standard functional manipulations have been proven to imply a remarkable property satisfied by the fermionic Green’s functions of QCD and dubbed effective locality. Resulting from a full gauge invariant summation of the gauge field degrees of freedom, effective locality is a non-perturbative property of QCD. This unexpected result has lead to suspect that the famous Gribov copy problem had been somewhat overlooked. It is argued that it is not so. The analysis is conducted in the strong coupling limit, relevant to the Gribov problem.

SPIN DYNAMICS OF TWO-DIMENSIONAL HUBBARD SYSTEMS

1990 ◽  
Vol 04 (21) ◽  
pp. 1325-1340 ◽  
Author(s):  
DAVID KO
Keyword(s):  
High Temperature ◽  
Strong Coupling ◽  
High Temperature Superconductivity ◽  
State Of The Art ◽  
Spin Dynamics ◽  
The State ◽  
Strong Coupling Limit ◽  
Two Dimensional ◽  
Two Dimension ◽  
Basic Ideas

The discovery of high temperature superconductivity has motivated a vigorous study of the physics of Hubbard systems. Here, the properties of the spin aspects of the Hubbard system in two-dimension, in the strong coupling limit, are briefly reviewed, with the basic ideas, some of the fundamental questions and the state of the art introduced.

scholarly journals GAUGE FIELDS AND SPACE-TIME

2002 ◽  
Vol 17 (supp01) ◽  
pp. 119-136 ◽  
Author(s):  
A. M. POLYAKOV
Keyword(s):  
Strong Coupling ◽  
Sigma Model ◽  
Space Time ◽  
Strong Coupling Limit ◽  
Gauge Fields ◽  
Gauge Invariant ◽  
Yang Mills

In this article I attempt to collect some ideas, opinions and formulae which may be useful in solving the problem of gauge/string/space-time correspondence. This includes the validity of D-brane representation, counting of gauge-invariant words, relations between the null states and the Yang-Mills equations and the discussion of the strong coupling limit of the string sigma model. The article is based on the talk given at the "Odyssey 2001" conference.

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

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>

TOPOLOGY OF THE GRASSMANNIAN σ MODEL ON A LATTICE

1987 ◽  
Vol 02 (08) ◽  
pp. 601-608 ◽  
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.

scholarly journals Fundamental limitations of the mode temperature concept in strongly coupled systems

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.

scholarly journals Spontaneous Emission Spectrum of a WS2 Monolayer under Strong Coupling Conditions

2020 ◽  
Vol 4 (1) ◽  
pp. 9
Author(s):  
Vasilios Karanikolas ◽  
Ioannis Thanopulos ◽  
Emmanuel Paspalakis
Keyword(s):  
Emission Spectrum ◽  
Strong Coupling ◽  
Spontaneous Emission ◽  
Two Dimensional ◽  
Spontaneous Emission Spectrum ◽  
Light Confinement ◽  
Coupling Conditions ◽  
Two Dimensional Materials ◽  
All Optical ◽  
Ws2 Monolayer

Two-dimensional materials allow for extreme light confinement, thus becoming important candidates for all optical application platforms.  [...]

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