Abstracts of the talks
... Given a surface S with a collection of special points on the boundary modulo isotopy, and a split reductive group G, we define a moduli space M (G, S) of G-local systems on S with some special data at the special points. We introduce a function W on M (G, S), the potential. It determines a set of W ...
... Given a surface S with a collection of special points on the boundary modulo isotopy, and a split reductive group G, we define a moduli space M (G, S) of G-local systems on S with some special data at the special points. We introduce a function W on M (G, S), the potential. It determines a set of W ...
Asymptotic Freedom and Quantum
... theories were quite discredited, as we have seen, and other ways were investigated to understand the physics of quarks. Gell-Mann used a free quantum field theory for quarks to extract the conserved currents of the new charges to study their commutation relations. He then postulated that the physica ...
... theories were quite discredited, as we have seen, and other ways were investigated to understand the physics of quarks. Gell-Mann used a free quantum field theory for quarks to extract the conserved currents of the new charges to study their commutation relations. He then postulated that the physica ...
leading quantum correction to the newtonian potential
... framework of the general theory of relativity [1], and which have been verified experimentally. At microscopic distance scales, we would also expect that quantum mechanics would lead to a modification in the gravitational potential in much the same way that the radiative corrections of quantum elect ...
... framework of the general theory of relativity [1], and which have been verified experimentally. At microscopic distance scales, we would also expect that quantum mechanics would lead to a modification in the gravitational potential in much the same way that the radiative corrections of quantum elect ...
N=2* gauge theory
... the Schrodinger equation. We have derived the Schrodinger equation from the conformal block with the degenerate field by making use of the AGT relation We have seen that the proposal above is equivalent to the expected monodromy of the conformal ...
... the Schrodinger equation. We have derived the Schrodinger equation from the conformal block with the degenerate field by making use of the AGT relation We have seen that the proposal above is equivalent to the expected monodromy of the conformal ...
Zero field Quantum Hall Effect in QED3
... This value corresponds to the filling factor of the zero field QHE [3]. In the massless limit, it is said that at zero magnetic field, vacuum is half-filled. 3. Fermion Propagator in Perturbation Theory At 1-loop order, the fermion propagator in covariant gauges is ...
... This value corresponds to the filling factor of the zero field QHE [3]. In the massless limit, it is said that at zero magnetic field, vacuum is half-filled. 3. Fermion Propagator in Perturbation Theory At 1-loop order, the fermion propagator in covariant gauges is ...
The Yukawa Theory of Nuclear Forces in the Light of Present
... these problems; that it may be worth while to discuss this way, even if it is still too early to work it out in the mathematical details. In the relativistic quantum theory of wave fields we have learned, that the divergent results arise from the singularities in the commutation function. Therefore ...
... these problems; that it may be worth while to discuss this way, even if it is still too early to work it out in the mathematical details. In the relativistic quantum theory of wave fields we have learned, that the divergent results arise from the singularities in the commutation function. Therefore ...
Infinite 1-D Lattice II
... Vn is the (possibly complex) Fourier coefficient of the part of V(x) that looks like a free particle state with wave-vector Kn (momentum ). Note that Kn is larger than the largest k (shortest λ) free particle state that can be supported by a lattice of spacing l. first Brillouin Zone for k ...
... Vn is the (possibly complex) Fourier coefficient of the part of V(x) that looks like a free particle state with wave-vector Kn (momentum ). Note that Kn is larger than the largest k (shortest λ) free particle state that can be supported by a lattice of spacing l. first Brillouin Zone for k ...
Document
... At the Planck scale, Quantum Mechanics is not wrong, but its interpretation may have to be revised, not only for philosophical reasons, but also to enable us to construct more concise theories, recovering e.g. locality (which appears to have been lost in string theory). The “random numbers”, inheren ...
... At the Planck scale, Quantum Mechanics is not wrong, but its interpretation may have to be revised, not only for philosophical reasons, but also to enable us to construct more concise theories, recovering e.g. locality (which appears to have been lost in string theory). The “random numbers”, inheren ...
New Methods in Computational Quantum Field Theory
... • Challenge to computational theorists: compute them; compute them precisely • Strong coupling is not small: s(MZ) 0.12 and running is important events have high multiplicity of hard clusters (jets) each jet has a high multiplicity of hadrons higher-order perturbative corrections are import ...
... • Challenge to computational theorists: compute them; compute them precisely • Strong coupling is not small: s(MZ) 0.12 and running is important events have high multiplicity of hard clusters (jets) each jet has a high multiplicity of hadrons higher-order perturbative corrections are import ...
TALK - ECM
... The basic idea is the same as in Kolmogorov Heisenberg turbulence theory: a mode of the field with wave number k lives in the environment provided by all modes with wave number k' > k The dynamics of the relevant mode is obtained by tracing over the environment. This generally leaves the relevant m ...
... The basic idea is the same as in Kolmogorov Heisenberg turbulence theory: a mode of the field with wave number k lives in the environment provided by all modes with wave number k' > k The dynamics of the relevant mode is obtained by tracing over the environment. This generally leaves the relevant m ...
Brown-Henneaux`s Canonical Approach to Topologically Massive
... dimensional gravity theory. • Strong coupling limit of the gauge theory can be studied by the classical gravity. • Applied to QCD or condensed matter physics. However, it is difficult to prove the gauge/gravity correspondence directly. ...
... dimensional gravity theory. • Strong coupling limit of the gauge theory can be studied by the classical gravity. • Applied to QCD or condensed matter physics. However, it is difficult to prove the gauge/gravity correspondence directly. ...
I. What is String Theory?
... bosons and fermions. Strings with this symmetry are called superstrings. ...
... bosons and fermions. Strings with this symmetry are called superstrings. ...
Note 1
... not only the graviton, but spacetime itself is emergent. The fundamental degrees of freedom of the theory do not live in the same spacetime as the final theory, or in some cases do not live in any spacetime at all. Spacetime is an approximate, collective description of these underlying degrees of fr ...
... not only the graviton, but spacetime itself is emergent. The fundamental degrees of freedom of the theory do not live in the same spacetime as the final theory, or in some cases do not live in any spacetime at all. Spacetime is an approximate, collective description of these underlying degrees of fr ...
FIELD THEORY 1. Consider the following lagrangian1
... 1. the two-point Green function (i.e. the Feynman propagator) for the field ψ(x); 2. the photon-fermion vertex in QED. ...
... 1. the two-point Green function (i.e. the Feynman propagator) for the field ψ(x); 2. the photon-fermion vertex in QED. ...