The Excitement of Scattering Amplitudes
... Standard lore: graviton Feynman diagrams divergent. Point-particle theory of gravity not OK as quantum theory (a motivation for string theory) ...
... Standard lore: graviton Feynman diagrams divergent. Point-particle theory of gravity not OK as quantum theory (a motivation for string theory) ...
Problem set 10
... Gauge potentials that differ by a gauge transformation represent the same electric and magnetic fields and are said to lie on a common orbit of the gauge group. A gauge choice is a choice of orbit representative. Coulomb gauge is defined by the condition ∇ · A = 0. Given a vector potential A0 find t ...
... Gauge potentials that differ by a gauge transformation represent the same electric and magnetic fields and are said to lie on a common orbit of the gauge group. A gauge choice is a choice of orbit representative. Coulomb gauge is defined by the condition ∇ · A = 0. Given a vector potential A0 find t ...
Why I Still Like String Theory
... pointed out over at NEW, there are alternatives. LQG may succeed but to do so it must give a low energy perturbation theory with gravitons or explain why things work differently. Other alternatives mentioned by Smolin are more like toy models but I would add higher spin gravity as another idea that ...
... pointed out over at NEW, there are alternatives. LQG may succeed but to do so it must give a low energy perturbation theory with gravitons or explain why things work differently. Other alternatives mentioned by Smolin are more like toy models but I would add higher spin gravity as another idea that ...
Non-interacting fermions, strings, and the 1/N expansion
... invariants. It also leads to the exact spectrum for a new family of quantum integrable systems related to non-compact CYs (Goncharov-Kenyon). Our construction provides a non-perturbative definition of topological string theory on non-compact CYs, and a very concrete model of stringy/quantum geometry ...
... invariants. It also leads to the exact spectrum for a new family of quantum integrable systems related to non-compact CYs (Goncharov-Kenyon). Our construction provides a non-perturbative definition of topological string theory on non-compact CYs, and a very concrete model of stringy/quantum geometry ...
PhD dissertation - Pierre
... observations of phenomena to each other in a way which is consistent with a fundamental theory, but without being ...
... observations of phenomena to each other in a way which is consistent with a fundamental theory, but without being ...
Emergent spacetime - School of Natural Sciences
... Old fashioned point of view: The issue of the cosmological constant might be related to UV/IR mixing and to violation of naive locality. More modern point of view: is set anthropically. ...
... Old fashioned point of view: The issue of the cosmological constant might be related to UV/IR mixing and to violation of naive locality. More modern point of view: is set anthropically. ...
Template for scientific report
... the characteristic property of asymptotic freedom. The infrared sector of QCD, on the other hand, is the host of several non-perturbative phenomena, which most famously encompass quark confinement and dynamical mass generation, and powerful methods must be employed for their quantitative treatment. ...
... the characteristic property of asymptotic freedom. The infrared sector of QCD, on the other hand, is the host of several non-perturbative phenomena, which most famously encompass quark confinement and dynamical mass generation, and powerful methods must be employed for their quantitative treatment. ...
What is String Theory?
... freedom to elementary (perturbative, local) ones, and vice versa Φ(x) ...
... freedom to elementary (perturbative, local) ones, and vice versa Φ(x) ...
Path integral in quantum mechanics
... we divide space and time into small segments; take a field in each segment to be constant; the differences between fields in neighboring segments become derivatives; use the trick: multiplying by is equivalent to replacing with which we often don’t write explicitly; ... eventually we can integrate o ...
... we divide space and time into small segments; take a field in each segment to be constant; the differences between fields in neighboring segments become derivatives; use the trick: multiplying by is equivalent to replacing with which we often don’t write explicitly; ... eventually we can integrate o ...
Interaction with the radiation field
... => the so-called The Lorentz Oscillator => large portion of the observed effects in atom-field interactions not supported (e.g quantized transitions) – QM model needed! ...
... => the so-called The Lorentz Oscillator => large portion of the observed effects in atom-field interactions not supported (e.g quantized transitions) – QM model needed! ...
Quantization of the Radiation Field
... of its predictions and compare them with experiments. By 1926 the basic formulation of non-relativistic quantum mechanics by Schrodinger, Heisenberg and Dirac was already well established and the concept of waveparticle duality for matter was well accepted. Dirac was intrigued by the fact that while ...
... of its predictions and compare them with experiments. By 1926 the basic formulation of non-relativistic quantum mechanics by Schrodinger, Heisenberg and Dirac was already well established and the concept of waveparticle duality for matter was well accepted. Dirac was intrigued by the fact that while ...
Progress In N=2 Field Theory - Rutgers Physics
... Only one kind of light comes out of the flashlights from the hardware store…. Most physics experiments are described very accurately by using (quantum) Maxwell theory (QED). The gauge group is U(1). The true gauge group of electroweak forces is SU(2) x U(1) ...
... Only one kind of light comes out of the flashlights from the hardware store…. Most physics experiments are described very accurately by using (quantum) Maxwell theory (QED). The gauge group is U(1). The true gauge group of electroweak forces is SU(2) x U(1) ...
dreams of a finite theory - Indico
... strings cannot be quantized in any number of space-time dimensions For superstrings 9 space and 1 time coordinates are needed for quantum consistency Rather than a killer this is now seen as an opportunity: if 6 of the 9 spatial dimensions are tiny they can provide a new mechanism to generate gaug ...
... strings cannot be quantized in any number of space-time dimensions For superstrings 9 space and 1 time coordinates are needed for quantum consistency Rather than a killer this is now seen as an opportunity: if 6 of the 9 spatial dimensions are tiny they can provide a new mechanism to generate gaug ...
Ward identity and Thermo-electric conductivities
... Bulk symmetry and the symmetry in the boundary theory are different from each other. The symmetry in QFT is described by Ward Identity. We derived the WI s and show that the various holographic backgrounds are consistent with the WI s. We develop the reduced action formalism by using a scaling symme ...
... Bulk symmetry and the symmetry in the boundary theory are different from each other. The symmetry in QFT is described by Ward Identity. We derived the WI s and show that the various holographic backgrounds are consistent with the WI s. We develop the reduced action formalism by using a scaling symme ...
Applications of Quantum Field Theory in Condensed Matter
... temperature TN (δ) as a function of doping, which is also in excellent agreemet with the experiments for both compounds [15]. We can also describe in our theory the superconducting transition. Since skyrmions are the charge carriers, we must investigate the skyrmion-skyrmion interacting potential pr ...
... temperature TN (δ) as a function of doping, which is also in excellent agreemet with the experiments for both compounds [15]. We can also describe in our theory the superconducting transition. Since skyrmions are the charge carriers, we must investigate the skyrmion-skyrmion interacting potential pr ...
Slides - Professor Laura Ruetsche
... Sometimes the classical theories we set out to quantize involve infinitely many degrees of freedom. E.g.: classical field theories. We can still carry out the Hamiltonian quantization recipe to quantize such theories. But The Stone-von Neumann theorem, presupposing that the theory to be quantized ha ...
... Sometimes the classical theories we set out to quantize involve infinitely many degrees of freedom. E.g.: classical field theories. We can still carry out the Hamiltonian quantization recipe to quantize such theories. But The Stone-von Neumann theorem, presupposing that the theory to be quantized ha ...
D-Geometry As A Model For Quantum Space-Time
... localized than strings they can be used to probe space-time at much shorter scales. D-brane states are especially well suited for study since their dynamics is described by a class of well known field theories, namely gauge theories. An ensemble of N D0branes for example is captured by the dimension ...
... localized than strings they can be used to probe space-time at much shorter scales. D-brane states are especially well suited for study since their dynamics is described by a class of well known field theories, namely gauge theories. An ensemble of N D0branes for example is captured by the dimension ...