Two-dimensional quantum gravity may be formulated as a
... This is enough for all eigenfunctions of the Hamiltonian H (29) and for the re solvent (x 111(z + H)I y) to vanish at x,. In other words, there is no tunneling through the poles and the eigenstates stay localized between two successive poles [x" x,J or between the first pole x, and +=. This leads v ...
... This is enough for all eigenfunctions of the Hamiltonian H (29) and for the re solvent (x 111(z + H)I y) to vanish at x,. In other words, there is no tunneling through the poles and the eigenstates stay localized between two successive poles [x" x,J or between the first pole x, and +=. This leads v ...
Structure, Individuality and Quantum Gravity
... converse attempt has been made: to individuate the points of space-time by means of the individuation of the physical (matter or field) events or processes occurring at them; i.e., by the relation between these points and some individuating properties of matter and/or non-gravitational fields. Such ...
... converse attempt has been made: to individuate the points of space-time by means of the individuation of the physical (matter or field) events or processes occurring at them; i.e., by the relation between these points and some individuating properties of matter and/or non-gravitational fields. Such ...
QMC: A Model Checker for Quantum Systems
... declared at the beginning of a protocol model (in which case they become shared variables), or at the beginning of the process in which they are used (in which case they become local to that process). The classical data types include integers (type integer ), bits (type bool), and floating–point num ...
... declared at the beginning of a protocol model (in which case they become shared variables), or at the beginning of the process in which they are used (in which case they become local to that process). The classical data types include integers (type integer ), bits (type bool), and floating–point num ...
Chaotic field theory: a sketch
... For the second task, the theory of perturbative corrections, we shall turn to an even simpler system; a weakly stochastic mapping in one-dimension. The new aspect of the theory is that now the corrections have to be computed saddle by saddle. In Sections 3– 6, we discuss three distinct methods for t ...
... For the second task, the theory of perturbative corrections, we shall turn to an even simpler system; a weakly stochastic mapping in one-dimension. The new aspect of the theory is that now the corrections have to be computed saddle by saddle. In Sections 3– 6, we discuss three distinct methods for t ...
Quantum Spacetimes and Finite N Effects in 4D Super Yang
... truncates at N . Since the Yang-Mills theory has an SO(6) global symmetry, we get an SO(6) covariant cutoff on the chiral primaries. In the large N limit, the chiral primaries are matched on the gravitational side with modes coming form KK reduction on S 5 . To understand the cutoff at finite N , we ...
... truncates at N . Since the Yang-Mills theory has an SO(6) global symmetry, we get an SO(6) covariant cutoff on the chiral primaries. In the large N limit, the chiral primaries are matched on the gravitational side with modes coming form KK reduction on S 5 . To understand the cutoff at finite N , we ...
New insights into soft gluons and gravitons. In
... It is well-known that scattering amplitudes in quantum field theory are beset by infrared divergences. Consider, for example, the interaction shown in figure 1, in which a vector boson splits into a quark pair. Either the final state quark or anti-quark may emit gluon radiation, and the Feynman rule ...
... It is well-known that scattering amplitudes in quantum field theory are beset by infrared divergences. Consider, for example, the interaction shown in figure 1, in which a vector boson splits into a quark pair. Either the final state quark or anti-quark may emit gluon radiation, and the Feynman rule ...
Entanglement, Gravity, and Quantum Error Correction
... generalizing the Ryu-Takayanagi prescription. • Quantum information theory enables us to understand the basic dictionary of quantum gravity. • Viewing holography as a quantum error correcting code, we can make progress on how to “build spacetime from entanglement”. ...
... generalizing the Ryu-Takayanagi prescription. • Quantum information theory enables us to understand the basic dictionary of quantum gravity. • Viewing holography as a quantum error correcting code, we can make progress on how to “build spacetime from entanglement”. ...
Presentism and Quantum Gravity
... Fixed foliation quantum gravity is compatible with presentism. To show this, it will be helpful to utilize the semantic view of scientific theories (see for example van Fraassen 1987). A scientific theory is taken to have two parts, the theoretical structure and the theoretical hypotheses. The theor ...
... Fixed foliation quantum gravity is compatible with presentism. To show this, it will be helpful to utilize the semantic view of scientific theories (see for example van Fraassen 1987). A scientific theory is taken to have two parts, the theoretical structure and the theoretical hypotheses. The theor ...
Relativity and Quantum Field Theory
... states, "... the choice of time evolution in the classical phase space suffices to determine uniquely the (first) quantization of the classical system." However, if there is more than one choice of classical time evolution, there will be more than one choice of one-particle structure, and hence more ...
... states, "... the choice of time evolution in the classical phase space suffices to determine uniquely the (first) quantization of the classical system." However, if there is more than one choice of classical time evolution, there will be more than one choice of one-particle structure, and hence more ...
Studying Quantum Field Theory
... There has been a tension between the field and the particle picture in QFT since its inception. Particles correspond to unitary positive energy irreducible representations (IRs) of the Poincaré group. According to the classification of Wigner [W39] they are labeled by the mass m ≥ 0 and the spin (o ...
... There has been a tension between the field and the particle picture in QFT since its inception. Particles correspond to unitary positive energy irreducible representations (IRs) of the Poincaré group. According to the classification of Wigner [W39] they are labeled by the mass m ≥ 0 and the spin (o ...
1 Introduction. Measurable and Nonmea
... Of course, as a mathematical notion, the quantities dxµ , ds are naturally existent but one should realize that there is no way to express them in terms of the minimal possible measuring unit lmin . So, trying to frame a theory (QT and GR) correct at all the energy levels using only the measurable q ...
... Of course, as a mathematical notion, the quantities dxµ , ds are naturally existent but one should realize that there is no way to express them in terms of the minimal possible measuring unit lmin . So, trying to frame a theory (QT and GR) correct at all the energy levels using only the measurable q ...
A phase-space study of the quantum Loschmidt Echo in the
... reference quantum states the usual coherent states. The latter are known to be well adapted to a semiclassical analysis, in particular with respect to semiclassical estimates of their time evolution. For times not larger than the so-called “Ehrenfest time” C| log ~|, we are able to estimate semiclas ...
... reference quantum states the usual coherent states. The latter are known to be well adapted to a semiclassical analysis, in particular with respect to semiclassical estimates of their time evolution. For times not larger than the so-called “Ehrenfest time” C| log ~|, we are able to estimate semiclas ...
Spectral Analysis of Nonrelativistic Quantum Electrodynamics
... Laplacian. If lim|x|→∞ V (x) = 0, and if k(V )− kL3/2 is not too small, then Hel has the following standard spectrum [42], see Fig. 1: • Below 0, the spectrum is purely discrete, i.e., it consists only of isolated eigenvalues, E0 < E1 < · · · < 0, each Ej being of finite multiplicity nj < ∞. Thus th ...
... Laplacian. If lim|x|→∞ V (x) = 0, and if k(V )− kL3/2 is not too small, then Hel has the following standard spectrum [42], see Fig. 1: • Below 0, the spectrum is purely discrete, i.e., it consists only of isolated eigenvalues, E0 < E1 < · · · < 0, each Ej being of finite multiplicity nj < ∞. Thus th ...
FIFTY YEARS OF EIGENVALUE PERTURBATION
... term by term. It is natural to try to associate these formal series with an asymptotic series in a classical sense. Such results were studied by various authors and unified in Kato's book [32]. We consider A0 and A(k) defined for k in some complex sectorial neighborhood {A|0 < |A| < L\ |argA| < /?} ...
... term by term. It is natural to try to associate these formal series with an asymptotic series in a classical sense. Such results were studied by various authors and unified in Kato's book [32]. We consider A0 and A(k) defined for k in some complex sectorial neighborhood {A|0 < |A| < L\ |argA| < /?} ...
Causal Sets: Discrete Gravity (Notes for the Valdivia Summer School)
... With the subsequent development of physics, more compelling reasons emerged for questioning the continuum, including the singularities and infinities of General Relativity, of Quantum Field Theory (including the standard model), and of black hole thermodynamics. Einstein, for example, voiced doubts ...
... With the subsequent development of physics, more compelling reasons emerged for questioning the continuum, including the singularities and infinities of General Relativity, of Quantum Field Theory (including the standard model), and of black hole thermodynamics. Einstein, for example, voiced doubts ...
On inelastic hydrogen atom collisions in stellar atmospheres
... a factor to account for equivalent electrons in the outer shell of the atom, which is usually also applied. As pointed out by Rudge (1968, Sect. 4), Thomson’s theory is remarkable for being able to make a number of qualitative predictions regarding ionization cross sections and their behaviour with ...
... a factor to account for equivalent electrons in the outer shell of the atom, which is usually also applied. As pointed out by Rudge (1968, Sect. 4), Thomson’s theory is remarkable for being able to make a number of qualitative predictions regarding ionization cross sections and their behaviour with ...
Relativity and Quantum Field Theory
... that preserves and represents the evolution of the classical system in time. A oneparticle structure over .S; ; Dt / is a pair .H; Ut /, where H is a Hilbert space and Ut is a weakly continuous one-parameter group of unitary operators on H with positive energy3, such that there is a 1-1 real line ...
... that preserves and represents the evolution of the classical system in time. A oneparticle structure over .S; ; Dt / is a pair .H; Ut /, where H is a Hilbert space and Ut is a weakly continuous one-parameter group of unitary operators on H with positive energy3, such that there is a 1-1 real line ...
The renormalization of the energy-momentum tensor for an effective initial... Hael Collins R. Holman *
... The expansion during inflation, which provides this elegant explanation for the original fluctuations in the background, has a rather peculiar consequence if we continue to look yet further back in time. To fit all of the observed universe within a single causally connected region at some point duri ...
... The expansion during inflation, which provides this elegant explanation for the original fluctuations in the background, has a rather peculiar consequence if we continue to look yet further back in time. To fit all of the observed universe within a single causally connected region at some point duri ...
Sourcing semiclassical gravity from spontaneously localized
... this does not discredit it a priori in the eventuality that space-time is fundamentally classical. However, and as natural as it may seem, the latter standard semiclassical approach is plagued by foundational problems. The most obvious one is that such a semiclassical coupling means nonlinear determ ...
... this does not discredit it a priori in the eventuality that space-time is fundamentally classical. However, and as natural as it may seem, the latter standard semiclassical approach is plagued by foundational problems. The most obvious one is that such a semiclassical coupling means nonlinear determ ...
Introduction to the Maxwell Garnett approximation: tutorial
... the macroscopic dielectric permittivity of the medium made up by this collection of molecules. A key theoretical ingredient of the Lorentz theory is the so-called local field correction, and this ingredient is also used in the Maxwell Garnett theory. The two theories mentioned above seem to start fr ...
... the macroscopic dielectric permittivity of the medium made up by this collection of molecules. A key theoretical ingredient of the Lorentz theory is the so-called local field correction, and this ingredient is also used in the Maxwell Garnett theory. The two theories mentioned above seem to start fr ...
The Power of Perturbation Theory
... Exact Perturbation Theory When the decomposition in thimbles is non-trivial, the intersection numbers n have to be determined This is easy for one-dimensional integrals, but very complicated in the path integral case, where in general they will be infinite Key idea: the thimble decomposition can be ...
... Exact Perturbation Theory When the decomposition in thimbles is non-trivial, the intersection numbers n have to be determined This is easy for one-dimensional integrals, but very complicated in the path integral case, where in general they will be infinite Key idea: the thimble decomposition can be ...
Elements of QFT in Curved Space-Time
... The basis of the theory are the principles of equivalence and general covariance. There are covariant equations for the matter (fields and particles, fluids etc) and Einstein equations for the gravitational field gµν ...
... The basis of the theory are the principles of equivalence and general covariance. There are covariant equations for the matter (fields and particles, fluids etc) and Einstein equations for the gravitational field gµν ...
Slide 1
... These have non-local field interactions, AdS(4), AdS(3)xS(1), AdS(2)xS(2) but approximate local for small mass. A spacetime with singularities (free function a(x)), etc. ...
... These have non-local field interactions, AdS(4), AdS(3)xS(1), AdS(2)xS(2) but approximate local for small mass. A spacetime with singularities (free function a(x)), etc. ...
What is Control of Turbulence in Crossed Vortexes! Dimitri Volchenkov
... The international project on magnetic confinement fusion is designed to make the transition from today’s studies of plasma physics to future electricity-producing fusion power plants. A successful fusion device has to contain the particles in a small enough volume for a long enough time for much of ...
... The international project on magnetic confinement fusion is designed to make the transition from today’s studies of plasma physics to future electricity-producing fusion power plants. A successful fusion device has to contain the particles in a small enough volume for a long enough time for much of ...
On principles of repulsive gravity: the Elementary Process Theory
... reply to that reply is that the theory then would become conceptually incoherent: apart from lifetime, virtual and real particles are supposed to have the same properties—if not, we would need two C-inversions: one for real particles and one for virtual particles. The inevitable conclusion is, there ...
... reply to that reply is that the theory then would become conceptually incoherent: apart from lifetime, virtual and real particles are supposed to have the same properties—if not, we would need two C-inversions: one for real particles and one for virtual particles. The inevitable conclusion is, there ...