The structure of perturbative quantum gauge theories
... It turns out that the collection of all Feynman rules constitute a group. We start by considering the Feynman rules Γ 7→ U(Γ) ∈ C as characters on the free commutative algebra H generated by all 1PI Feynman graphs with residue in {v1 , . . . , vk } ∪ {e1 , . . . , eN }: One-particle irreducible grap ...
... It turns out that the collection of all Feynman rules constitute a group. We start by considering the Feynman rules Γ 7→ U(Γ) ∈ C as characters on the free commutative algebra H generated by all 1PI Feynman graphs with residue in {v1 , . . . , vk } ∪ {e1 , . . . , eN }: One-particle irreducible grap ...
Gauge Field Theory - High Energy Physics Group
... A sexier title for these lectures would be ‘Current theory of everything’, but other lecturers wouldn’t allow it. They are intended to take you from something that you (hopefully) know very well – the Schrödinger equation of non-relativistic quantum mechanics – to the current state-of-the-art in our ...
... A sexier title for these lectures would be ‘Current theory of everything’, but other lecturers wouldn’t allow it. They are intended to take you from something that you (hopefully) know very well – the Schrödinger equation of non-relativistic quantum mechanics – to the current state-of-the-art in our ...
Equations of Discontinuity - Max-Planck
... matter as we know it by introducing quantized paths on which electrons can move without losing energy. Bohr’s atomic model fit the experimental findings well. However, it could not explain why the electron paths are quantized. That is typical for the key weakness of the old quantum theory. They were ...
... matter as we know it by introducing quantized paths on which electrons can move without losing energy. Bohr’s atomic model fit the experimental findings well. However, it could not explain why the electron paths are quantized. That is typical for the key weakness of the old quantum theory. They were ...
QUANTUM FIELD THEORY a cyclist tour
... On the other hand, almost every single thing we learn about quantum mechanics and thus come to believe is quantum mechanics –operators, commutators, complex amplitudes, unitary evolution operators, Green’s functions, Hilbert spaces, spectra, path integrals, spins, angular momenta– under a closer ins ...
... On the other hand, almost every single thing we learn about quantum mechanics and thus come to believe is quantum mechanics –operators, commutators, complex amplitudes, unitary evolution operators, Green’s functions, Hilbert spaces, spectra, path integrals, spins, angular momenta– under a closer ins ...
Does molecular electronics compute?
... To think of molecules as only being a substitute for silicon is limiting. As Mario Ruben of the Karlsruhe Institute of Technology succinctly put it at the recent conference ‘Future Directions in Molecular Electronics’ held in Leiden: “to do Boolean logic with molecules is to do violence against them ...
... To think of molecules as only being a substitute for silicon is limiting. As Mario Ruben of the Karlsruhe Institute of Technology succinctly put it at the recent conference ‘Future Directions in Molecular Electronics’ held in Leiden: “to do Boolean logic with molecules is to do violence against them ...
20071031110012301
... ► Factorization of three-particle world-sheet S-matrix in near-flat AdS5 x S5 to one loop in string σ-model ...
... ► Factorization of three-particle world-sheet S-matrix in near-flat AdS5 x S5 to one loop in string σ-model ...
Applications of group theory
... the symmetric group in 5 elements, is not solvable which implies that the general quintic equation cannot be solved by radicals in the way equations of lower degree can. The theory, being one of the historical roots of group theory, is still fruitfully applied to yield new results in areas such as c ...
... the symmetric group in 5 elements, is not solvable which implies that the general quintic equation cannot be solved by radicals in the way equations of lower degree can. The theory, being one of the historical roots of group theory, is still fruitfully applied to yield new results in areas such as c ...
Spectral Analysis of Nonrelativistic Quantum Electrodynamics
... (4.) Positive Temperatures. To study the systems under consideration for nonzero temperature, given that the Hamiltonian and its spectral properties describe the dynamics of the system at zero temperature. → See theorem 6.1, below. (5.) Feshbach Renormalization Map. To develop a renormalization grou ...
... (4.) Positive Temperatures. To study the systems under consideration for nonzero temperature, given that the Hamiltonian and its spectral properties describe the dynamics of the system at zero temperature. → See theorem 6.1, below. (5.) Feshbach Renormalization Map. To develop a renormalization grou ...
It is widespread, if not common, belief that time
... accordance with our immediate experience. Anyhow, if someone wants to, he is allowed to describe in a reversed order whatever time sequence of actual occurrences. The pseudo-scalar nature of time, until now considered as a working hypothesis, may be easily recognized in the Minkowski space-time. Fo ...
... accordance with our immediate experience. Anyhow, if someone wants to, he is allowed to describe in a reversed order whatever time sequence of actual occurrences. The pseudo-scalar nature of time, until now considered as a working hypothesis, may be easily recognized in the Minkowski space-time. Fo ...
Computational chemistry (Quantum chemical calculations)
... 1. Scaling the calculated vibrational frequencies 2. Calculation of NMR spectra: the influence of the method and basis set 3. Calculation of ESR spectra for paramagnetic compounds 4. Computational studies in molecular electronics 5. Modelling the intra and inter-molecular hydrogen bonds 6. Computati ...
... 1. Scaling the calculated vibrational frequencies 2. Calculation of NMR spectra: the influence of the method and basis set 3. Calculation of ESR spectra for paramagnetic compounds 4. Computational studies in molecular electronics 5. Modelling the intra and inter-molecular hydrogen bonds 6. Computati ...
QUANTUM MAPS
... 4.4. More complicated geometries. Phase spaces of more complicated geometry can be quantized in an analogous way. Various techniques have been developed (geometric quantization, deformation quantization, Toeplitz quantization, ...). Explicit constructions are known, for example, for compact and non- ...
... 4.4. More complicated geometries. Phase spaces of more complicated geometry can be quantized in an analogous way. Various techniques have been developed (geometric quantization, deformation quantization, Toeplitz quantization, ...). Explicit constructions are known, for example, for compact and non- ...
Phys. Rev. Lett. 99, 200404 - Harvard Condensed Matter Theory group
... its exact solution. In general, describing dynamical properties of a many-body system using the exact Bethe ansatz solution is not a straightforward procedure. In our case, progress can be made connecting the problem of time evolution from a certain initial state to the equilibrium sine-Gordon model ...
... its exact solution. In general, describing dynamical properties of a many-body system using the exact Bethe ansatz solution is not a straightforward procedure. In our case, progress can be made connecting the problem of time evolution from a certain initial state to the equilibrium sine-Gordon model ...
Thermal equilibrium states for quantum fields on
... the thermodynamic behavior of the considered system (question Q2)). In the present conference paper, we restrict ourselves to announce several results concerning the algebraic structure of PΘ and its equilibrium states, including explicit formulas for their n-point functions. A full analysis with de ...
... the thermodynamic behavior of the considered system (question Q2)). In the present conference paper, we restrict ourselves to announce several results concerning the algebraic structure of PΘ and its equilibrium states, including explicit formulas for their n-point functions. A full analysis with de ...
PHYSICAL REVIEW B VOLUME 50, NUMBER20 15
... has been predicted by Efetov and Prigodin. They computed the spectral line shape for nuclear magnetic resonance (NMR) and found that the resonance becomes very broad upon decreasing the temperature and particle size, due to large fluctuations in the Knight shift at different points in the sample. Si ...
... has been predicted by Efetov and Prigodin. They computed the spectral line shape for nuclear magnetic resonance (NMR) and found that the resonance becomes very broad upon decreasing the temperature and particle size, due to large fluctuations in the Knight shift at different points in the sample. Si ...
here. - psychicQuesting.com
... different researchers, clearly confirms that subjects who believe in psi obtain, on the average, higher results than those who do not believe in it. ...
... different researchers, clearly confirms that subjects who believe in psi obtain, on the average, higher results than those who do not believe in it. ...
P410M: Relativistic Quantum Fields
... To automate this subtraction, we define normal ordering. In any product of creation and annihilation operators which are normal ordered, the annihilation operators appear to the right of the creation operators. The notation is to surround normal ordered operators with colons. So ...
... To automate this subtraction, we define normal ordering. In any product of creation and annihilation operators which are normal ordered, the annihilation operators appear to the right of the creation operators. The notation is to surround normal ordered operators with colons. So ...
A quantum central limit theorem for sums of IID
... variable A. Similarly, when one considers a commuting family A1 , . . . , An of selfadjoint operators, there exists a spectral measure ξ A1 ,...,An on Rn such that Z (u, f1 (A1 ) . . . fn (An )u) = f1 (a1 ) . . . fn (an ) d(u, ξ A1 ,...,An (a1 , . . . , an )u), for all u ∈ H and for any bounded Bore ...
... variable A. Similarly, when one considers a commuting family A1 , . . . , An of selfadjoint operators, there exists a spectral measure ξ A1 ,...,An on Rn such that Z (u, f1 (A1 ) . . . fn (An )u) = f1 (a1 ) . . . fn (an ) d(u, ξ A1 ,...,An (a1 , . . . , an )u), for all u ∈ H and for any bounded Bore ...