What Is...a Dimer?, Volume 52, Number 3
... height function also exists for domino tilings, or dimers on any bipartite planar graph, though the definition is a little more complicated. The tiling in Figure 1 is perfectly random, and yet one can see that there is something regular about its height function. In fact, as we take tilings of a fix ...
... height function also exists for domino tilings, or dimers on any bipartite planar graph, though the definition is a little more complicated. The tiling in Figure 1 is perfectly random, and yet one can see that there is something regular about its height function. In fact, as we take tilings of a fix ...
arXiv:hep-th/9703136v1 19 Mar 1997
... change quickly. We will start with the small hills of Quantum Mechanics, after which we will move to the barren scenery of 2D Topological Field Theory, a bare bones version of quantum field theory. In the next stage we will put some flesh to these bones, and explore Conformal Field Theory. Then we ...
... change quickly. We will start with the small hills of Quantum Mechanics, after which we will move to the barren scenery of 2D Topological Field Theory, a bare bones version of quantum field theory. In the next stage we will put some flesh to these bones, and explore Conformal Field Theory. Then we ...
THE CORRESPONDENCE PRINCIPLE AND THEORY CHOICE IN
... an extensive review of issues concerning the interpretation of Quantum Mechanics is made to counter the claims that an insurmountable conceptual gap exits between the tenets of this theory and those of Classical Mechanics which makes it logically impossible for the latter to be regarded as the 'limi ...
... an extensive review of issues concerning the interpretation of Quantum Mechanics is made to counter the claims that an insurmountable conceptual gap exits between the tenets of this theory and those of Classical Mechanics which makes it logically impossible for the latter to be regarded as the 'limi ...
The Dynamics of General Relativity
... maintained. It is this clash with the smaller number of variables needed to describe the dynamics (i.e., the number of independent Cauchy data) that creates the difficulties in the analysis. In Lorentz covariant field theories, general techniques (Schwinger, 1951, 1953) (valid both in the quantum an ...
... maintained. It is this clash with the smaller number of variables needed to describe the dynamics (i.e., the number of independent Cauchy data) that creates the difficulties in the analysis. In Lorentz covariant field theories, general techniques (Schwinger, 1951, 1953) (valid both in the quantum an ...
Conformal field theory for inhomogeneous one
... in one or two spatial dimensions (1D or 2D), the effects of strong correlations and interactions are enhanced and lead to dramatic effects. Celebrated examples from condensed matter physics include such diverse cases as the fractionalization of charge and emergence of topological order in the quantu ...
... in one or two spatial dimensions (1D or 2D), the effects of strong correlations and interactions are enhanced and lead to dramatic effects. Celebrated examples from condensed matter physics include such diverse cases as the fractionalization of charge and emergence of topological order in the quantu ...
Phase transition in gauge theories, monopoles and the Multiple
... approximation is investigated, and the existence of its postulated second minimum at the fundamental scale is confirmed. Phase transitions in the lattice gauge theories are reviewed. The lattice results for critical coupling constants are compared with those of the Higgs monopole model, in which the ...
... approximation is investigated, and the existence of its postulated second minimum at the fundamental scale is confirmed. Phase transitions in the lattice gauge theories are reviewed. The lattice results for critical coupling constants are compared with those of the Higgs monopole model, in which the ...
Ten Lectures on the ElectroWeak Interactions
... SU(3)XSU(2)XU(1) and Ψ properly includes all the fermionic degrees of freedom with the suitable colours. A standard compact notation for Ψ is Ψ = (Q(3, 2)1/6 , L(1, 2)−1/2 , uc (3̄, 1)−2/3 , dc (3̄, 1)1/3 , ec (1, 1)1 , N(1, 1)0 ) ...
... SU(3)XSU(2)XU(1) and Ψ properly includes all the fermionic degrees of freedom with the suitable colours. A standard compact notation for Ψ is Ψ = (Q(3, 2)1/6 , L(1, 2)−1/2 , uc (3̄, 1)−2/3 , dc (3̄, 1)1/3 , ec (1, 1)1 , N(1, 1)0 ) ...
Physics 217: The Renormalization Group Winter 2016 Lecturer: McGreevy Last updated: 2016/03/10, 15:55:16
... The ‘renormalization group’ (RG) is a poor name for the central concept in many-body physics. It is a framework for addressing the question: what is the relationship between microscopic laws and macroscopic observations? Or, closer to home, it allows us to answer questions such as: Why don’t you nee ...
... The ‘renormalization group’ (RG) is a poor name for the central concept in many-body physics. It is a framework for addressing the question: what is the relationship between microscopic laws and macroscopic observations? Or, closer to home, it allows us to answer questions such as: Why don’t you nee ...
2010 NORTH AMERICAN ANNUAL MEETING OF THE
... unilluminating ways.” But few people have actually tried to provide logics for sentences close to “the way they come,” and so I will be able to review much of what has been done. One leading idea is that the target logics for translations should have a decidable validity problem, ruling out full fir ...
... unilluminating ways.” But few people have actually tried to provide logics for sentences close to “the way they come,” and so I will be able to review much of what has been done. One leading idea is that the target logics for translations should have a decidable validity problem, ruling out full fir ...
Physical Mathematics and the Future
... behandeln, in denen schon heute die Mathematik eine hervorragende Rolle spielt ... The investigations on the foundations of geometry suggest the problem: To treat in the same manner, by means of axioms, those physical sciences in which mathematics plays an important part .... If we (with some genero ...
... behandeln, in denen schon heute die Mathematik eine hervorragende Rolle spielt ... The investigations on the foundations of geometry suggest the problem: To treat in the same manner, by means of axioms, those physical sciences in which mathematics plays an important part .... If we (with some genero ...
The Standard Model of Electroweak Interactions
... The SSB mechanism generates the masses of the weak gauge bosons, and gives rise to the appearance of a physical scalar particle in the model, the so-called Higgs. The fermion masses and mixings are also generated through the SSB. The SM constitutes one of the most successful achievements in modern p ...
... The SSB mechanism generates the masses of the weak gauge bosons, and gives rise to the appearance of a physical scalar particle in the model, the so-called Higgs. The fermion masses and mixings are also generated through the SSB. The SM constitutes one of the most successful achievements in modern p ...
Author`s personal copy
... Savart field represented by Aμ = 0. The Witten string superconductivity has been much studied [3,4], mainly in the cosmological context [5,6], since Witten’s model can be viewed as sector of some high energy Grand Unification Theory (GUT) [1] that could perhaps be relevant at the early stages of th ...
... Savart field represented by Aμ = 0. The Witten string superconductivity has been much studied [3,4], mainly in the cosmological context [5,6], since Witten’s model can be viewed as sector of some high energy Grand Unification Theory (GUT) [1] that could perhaps be relevant at the early stages of th ...
Dynamic Electrical-Mechanical Energy Coupling
... 2 Louisiana State University, Baton Rouge, LA 70803, U.S.A. ...
... 2 Louisiana State University, Baton Rouge, LA 70803, U.S.A. ...
Counterion Penetration and Effective Electrostatic Interactions in
... The local number density profiles of counterions, ρc (r), and of macroion monomers, ρmon (r), are modelled as spherically symmetric, continuous distributions. Spherical symmetry is a reasonable approximation, considering that equilibrium averaging over macroion orientations tends to smear out any an ...
... The local number density profiles of counterions, ρc (r), and of macroion monomers, ρmon (r), are modelled as spherically symmetric, continuous distributions. Spherical symmetry is a reasonable approximation, considering that equilibrium averaging over macroion orientations tends to smear out any an ...
Minimum Dissipation Principle in Stationary Non
... principle which can be considered, as Onsager did, the dynamical analogue of the maximal entropy condition in equilibrium statistical mechanics. Natural questions are how this theory can be extended to non equilibrium stationary states and how the restriction to small fluctuations can be relaxed. Ty ...
... principle which can be considered, as Onsager did, the dynamical analogue of the maximal entropy condition in equilibrium statistical mechanics. Natural questions are how this theory can be extended to non equilibrium stationary states and how the restriction to small fluctuations can be relaxed. Ty ...
Berry curvature, orbital moment, and effective quantum theory of
... applied electric field. When applied to the quantum Hall system, the semiclassical theory can explain the Hall current and the quantization of the Hall conductivity [5–7]. In recent years, it has helped in solving the mystery of the anomalous Hall effect in ferromagnetic materials [8–10]. It is also ...
... applied electric field. When applied to the quantum Hall system, the semiclassical theory can explain the Hall current and the quantization of the Hall conductivity [5–7]. In recent years, it has helped in solving the mystery of the anomalous Hall effect in ferromagnetic materials [8–10]. It is also ...