The polygon representation of three dimensional gravitation and its
... • Due to the absence of local degrees of freedom, the theory is topological, which is manifest in the first order formalism as we will see in the next section. Among others, this means that one can discretize spacetime, e.g. by means of triangulation, while still keeping the exact set of dynamical v ...
... • Due to the absence of local degrees of freedom, the theory is topological, which is manifest in the first order formalism as we will see in the next section. Among others, this means that one can discretize spacetime, e.g. by means of triangulation, while still keeping the exact set of dynamical v ...
No. 18 - Department of Mathematics
... related to the superconformal symmetry algebra psu(2, 2|4). We also discuss general features of classical integrability, higher charges and Lax pairs, using as a toy model the theory of the principal chiral field (14). Starting from section 4, we enter the core of the topic of this review, i.e. the ...
... related to the superconformal symmetry algebra psu(2, 2|4). We also discuss general features of classical integrability, higher charges and Lax pairs, using as a toy model the theory of the principal chiral field (14). Starting from section 4, we enter the core of the topic of this review, i.e. the ...
Black Hole Entropy: From Shannon to Bekenstein
... but unfortunately the requisite results were not available at that time. The connection between Shannon entropy and thermodynamic or statistical mechanics entropy was established by the works of Jaynes [4] and Brillouin [5]. More recently, Bialynicki-Birula and Mycielski [6] have exploited these ide ...
... but unfortunately the requisite results were not available at that time. The connection between Shannon entropy and thermodynamic or statistical mechanics entropy was established by the works of Jaynes [4] and Brillouin [5]. More recently, Bialynicki-Birula and Mycielski [6] have exploited these ide ...
A definite resolution of the mystery of
... from the view point of high energy particle physics as a one dimensional theory, i.e. a theory based upon a single elementary particle, the photon. On the other hand the simplest and yet extremely successful standard model of quantum field theory relies on a minimum of 12 particles of which the phot ...
... from the view point of high energy particle physics as a one dimensional theory, i.e. a theory based upon a single elementary particle, the photon. On the other hand the simplest and yet extremely successful standard model of quantum field theory relies on a minimum of 12 particles of which the phot ...
Effect of disorder on quantum phase transitions in
... An important question is whether some of the same interesting physics occurs in higher dimensional models. Senthil and Sachdev did find this to be the case in a dilute quantum Ising system near a percolation transition.30 It is particularly interesting that some of the most striking features that Fi ...
... An important question is whether some of the same interesting physics occurs in higher dimensional models. Senthil and Sachdev did find this to be the case in a dilute quantum Ising system near a percolation transition.30 It is particularly interesting that some of the most striking features that Fi ...
The Monte Carlo Method in Quantum Mechanics Colin Morningstar Carnegie Mellon University
... The die is cast? in rare situations, the path integrals can be computed ...
... The die is cast? in rare situations, the path integrals can be computed ...
Single-Site Green-Function of the Dirac Equation for Full
... of materials research and condensed matter physics. Desired material properties are highly diverse, ranging from mechanical requirements for a reliably constructed aeroplane, over electrical specifications in solar cells, up to magnetoelectric properties in hard disk drives – to name just a few out ...
... of materials research and condensed matter physics. Desired material properties are highly diverse, ranging from mechanical requirements for a reliably constructed aeroplane, over electrical specifications in solar cells, up to magnetoelectric properties in hard disk drives – to name just a few out ...
On Fractional Schrödinger Equation and Its Application
... equation by use of a path integral approach considering the Gaussian probability distribution. Later the time space fractional Schrödinger equation [22] obtained by Dong and Xu (in one dimension); ...
... equation by use of a path integral approach considering the Gaussian probability distribution. Later the time space fractional Schrödinger equation [22] obtained by Dong and Xu (in one dimension); ...
On characterizations of Euclidean spaces
... The two measures µa and µl are identical for all angles of some Minkowski plane M2 iff its unit ball is equiframed, i.e., if each point of the unit circle belongs to the boundary of some circumscribed parallelogram of minimal area. ...
... The two measures µa and µl are identical for all angles of some Minkowski plane M2 iff its unit ball is equiframed, i.e., if each point of the unit circle belongs to the boundary of some circumscribed parallelogram of minimal area. ...
Quantum Critical Systems from ADS/CFT
... The AdS/CFT (anti-de Sitter/conformal field theory) correspondence enables us to construct some strongly coupled quantum field theories by means of general relativity, and this approach provides new universality classes of condensed matter systems. In this dissertation, we will consider three system ...
... The AdS/CFT (anti-de Sitter/conformal field theory) correspondence enables us to construct some strongly coupled quantum field theories by means of general relativity, and this approach provides new universality classes of condensed matter systems. In this dissertation, we will consider three system ...
Renormalization Group Flows for Quantum Gravity
... Causal dynamical triangulations (CDT, Ambjorn, Loll...): Gluing rules for space-time cells. These gluing rules and the causality condition may not be represented by a quantum field theory action. Uses mostly numerical tools. No ...
... Causal dynamical triangulations (CDT, Ambjorn, Loll...): Gluing rules for space-time cells. These gluing rules and the causality condition may not be represented by a quantum field theory action. Uses mostly numerical tools. No ...
On the adequacy of the Redfield equation and related approaches
... in a nonperturbative manner for any system linearly coupled to a phonon bath. Their discussions are, however, applicable to nontransfer processes such as spin relaxation and vibrational relaxation problems. In the EET process, each site of a multichromophoric array is coupled to its local environmen ...
... in a nonperturbative manner for any system linearly coupled to a phonon bath. Their discussions are, however, applicable to nontransfer processes such as spin relaxation and vibrational relaxation problems. In the EET process, each site of a multichromophoric array is coupled to its local environmen ...
Quantum-like model of unconscious–conscious dynamics
... having different state-transforming quantum instruments. This is a very important characteristic of the theory of generalized quantum measurements. It is also very useful for cognitive modeling, since it reflects the individuality of measurement apparatuses/instruments which are used by cognitive sy ...
... having different state-transforming quantum instruments. This is a very important characteristic of the theory of generalized quantum measurements. It is also very useful for cognitive modeling, since it reflects the individuality of measurement apparatuses/instruments which are used by cognitive sy ...
Axiomatic and constructive quantum field theory Thesis for the
... to describe high-energy sub-atomic particles, the fundamental objects of the theory are fields. The theoretical predictions that can be made with QFT have been tested several times against experimental results, and these predictions turned out to be highly accurate. For this reason, QFT should be vi ...
... to describe high-energy sub-atomic particles, the fundamental objects of the theory are fields. The theoretical predictions that can be made with QFT have been tested several times against experimental results, and these predictions turned out to be highly accurate. For this reason, QFT should be vi ...