Two-dimensional quantum gravity may be formulated as a
... obtained from continuum formulations of 2d gravity, based on conformal field theory techniques' Most of those results were however restricted to fixed 2d topology. Very recently it was shown that a continuum limit for the sum over all topologies of 2d manifolds may also be defined explicitly.-·6 For ...
... obtained from continuum formulations of 2d gravity, based on conformal field theory techniques' Most of those results were however restricted to fixed 2d topology. Very recently it was shown that a continuum limit for the sum over all topologies of 2d manifolds may also be defined explicitly.-·6 For ...
Limitations on the superposition principle: superselection
... Superselection rules are very important properties of quantum systems. The most general superselection rules that, it is believed, must hold in any quantum theory are associated first with the existence of fermions and bosons, i.e. univalence, and then to every absolutely conserved quantum number: t ...
... Superselection rules are very important properties of quantum systems. The most general superselection rules that, it is believed, must hold in any quantum theory are associated first with the existence of fermions and bosons, i.e. univalence, and then to every absolutely conserved quantum number: t ...
Renormalization group running of Newton`s constant G: The static
... theories like QED and QCD the renormalized parameters (, S , . . .) are fixed by experiments, and no really compelling reason exists yet as to why they should take on the actual values observed in laboratory experiments. More specifically in the case of gravity, Feynman has given elaborate argumen ...
... theories like QED and QCD the renormalized parameters (, S , . . .) are fixed by experiments, and no really compelling reason exists yet as to why they should take on the actual values observed in laboratory experiments. More specifically in the case of gravity, Feynman has given elaborate argumen ...
Limitations on quantum dimensionality reduction
... constant. So Alice and Bob each simply apply this map to their vectors, renormalize the output (which makes very little di®erence to the inner products), and send the Oðlog nÞ qubit states corresponding to the resulting OðnÞ-dimensional vectors to the referee, who applies the swap test to the states ...
... constant. So Alice and Bob each simply apply this map to their vectors, renormalize the output (which makes very little di®erence to the inner products), and send the Oðlog nÞ qubit states corresponding to the resulting OðnÞ-dimensional vectors to the referee, who applies the swap test to the states ...
e - Instituto de Física Facultad de Ciencias
... SYMMETRIES AND GAUGE THEORIES Relativistic quantum field theory (as QED) is not enough, we need a GAUGE THEORY WHY? Nice features about GAUGE THEORIES: ...
... SYMMETRIES AND GAUGE THEORIES Relativistic quantum field theory (as QED) is not enough, we need a GAUGE THEORY WHY? Nice features about GAUGE THEORIES: ...
Introduction to Computational Chemistry: Theory
... The energy determined from any approximate wavefunction will always be greater than the energy for the exact wavefunction. The energy of the exact wavefunction serves as a lower bound on the calculated energy and therefore the Cµi can be simply adjusted until the total energy of the system is minimi ...
... The energy determined from any approximate wavefunction will always be greater than the energy for the exact wavefunction. The energy of the exact wavefunction serves as a lower bound on the calculated energy and therefore the Cµi can be simply adjusted until the total energy of the system is minimi ...
The Physical World as a Virtual Reality
... “… physicists who work with the theory every day don’t really know quite what to make of it. They fill blackboards with quantum calculations and acknowledge that it is probably the most powerful, accurate, and predictive scientific theory ever developed. But … the very suggestion that it may be lite ...
... “… physicists who work with the theory every day don’t really know quite what to make of it. They fill blackboards with quantum calculations and acknowledge that it is probably the most powerful, accurate, and predictive scientific theory ever developed. But … the very suggestion that it may be lite ...
Quantum Field Theory and Composite Fermions in the Fractional
... From quantum electrodynamics it is well known that the anomalous magnetic moment of the electron is a relativistic effect. In the spirit of Wigner particles are irreducible representations of the covering group of the Poincaré group and the electron is a representation of a relativistic particle wi ...
... From quantum electrodynamics it is well known that the anomalous magnetic moment of the electron is a relativistic effect. In the spirit of Wigner particles are irreducible representations of the covering group of the Poincaré group and the electron is a representation of a relativistic particle wi ...
Evolving Notions of Security for Quantum Protocols
... All* QKD protocols have simulator! [BHLMO ‘05] ...
... All* QKD protocols have simulator! [BHLMO ‘05] ...
Local Acausality - DepositOnce
... empirical data, teaches us that local causality is not satisfied by our world , i.e. that locally causal theories cannot be empirically adequate. However, in order to conclude that locality, and not only local causality, is violated one needs to assume that locality implies local causality: Assumpti ...
... empirical data, teaches us that local causality is not satisfied by our world , i.e. that locally causal theories cannot be empirically adequate. However, in order to conclude that locality, and not only local causality, is violated one needs to assume that locality implies local causality: Assumpti ...
EJP_NewCurr_Kohnle - St Andrews Research Repository
... of the particle in terms of two-dimensional vectors, and we deduce that the spin of the particle (in the z-direction) must be described by a 2×2 matrix. The operator structure of quantum mechanics therefore arises naturally from our discussion of this relatively simple experiment. Finally, we consid ...
... of the particle in terms of two-dimensional vectors, and we deduce that the spin of the particle (in the z-direction) must be described by a 2×2 matrix. The operator structure of quantum mechanics therefore arises naturally from our discussion of this relatively simple experiment. Finally, we consid ...
Dilations, Poduct Systems and Weak Dilations∗
... weak dilation or a even a white noise. To have a weak dilation (of a necessarily unital CPsemigroup) it it is necessary and sufficient that the family of projections pt is increasing, and for a white noise we must have jt (b)ξ = ξb for all t. Many dilations are obtained by a cocycle perturbation of ...
... weak dilation or a even a white noise. To have a weak dilation (of a necessarily unital CPsemigroup) it it is necessary and sufficient that the family of projections pt is increasing, and for a white noise we must have jt (b)ξ = ξb for all t. Many dilations are obtained by a cocycle perturbation of ...
2013-2014 Part III Guide to Courses
... simple Lie algebras by root data, covering all the structure theory necessary to get us there. Lie theory comes in many flavours and is important in finite group theory (with 26 exceptions all nonabelian finite simple groups come from Lie theoretic objects), number theory (notably the Langlands prog ...
... simple Lie algebras by root data, covering all the structure theory necessary to get us there. Lie theory comes in many flavours and is important in finite group theory (with 26 exceptions all nonabelian finite simple groups come from Lie theoretic objects), number theory (notably the Langlands prog ...