The predictions of SU(3) for charmed-meson decay are reanalyzed, allowing for expeoted new weak-m... more The predictions of SU(3) for charmed-meson decay are reanalyzed, allowing for expeoted new weak-mixing angles. ... (Some reference links may require a separate subscription.) ... SW Herb et al., Phys. Rev. Lett. 39, 252 (1977) [SPIN];[INSPEC];[CAS];[SPIRES].
We motivate and construct supersymmetric theories with continuous flavor symmetry, under which th... more We motivate and construct supersymmetric theories with continuous flavor symmetry, under which the electroweak Higgs doublets transform non-trivially. Flavor symmetry is spontaneously broken at a large mass scale in a sector of gauge-singlet fields; the light Higgs multiplets naturally emerge as special linear combinations that avoid acquiring the generic large mass. Couplings of the light Higgs doublets to light moduli fields from the singlet sector could lead to important effects in the phenomenology of the Higgs sector.
The fermion current induced by slow variations in background scalar and gauge fields are computed... more The fermion current induced by slow variations in background scalar and gauge fields are computed for a class of 2 + 1 dimensional sigma-like models. Local current densities proportional to topological currents in the background fields are found. The coefficient depends discontinuously on certain field ratios. The induced fermion numbers we find, mesh nicely with recent results on induced angular
The Fredkin three-bit gate is universal for computational logic, and is reversible. Classically, ... more The Fredkin three-bit gate is universal for computational logic, and is reversible. Classically, it is impossible to do universal computation using reversible two-bit gates only. Here we construct the Fredkin gate using a combination of six two-body reversible (quantum) operators.
It is argued that constant negative curvature provides a very convenient infrared regulator for i... more It is argued that constant negative curvature provides a very convenient infrared regulator for interacting euclidean quantum field theories . The two-dimensional XY model on a space with such curvature is disordered at arbitrarily small non-zero temperatures by topologically non-trivial fluctuations (vortices), even though the effect of perturbative fluctuations (spin-waves) is negligible at large distances. Similarly, constant negative curvature brings the infrared behavior of QCD (as well as the ultraviolet behavior, of course) under analytic control without any conflict with gauge invariance . In particular, for weak coupling there is a unique single instanton solution and the instanton gas is truly dilute.
Taking the reported high-Q 2 anomaly at HERA as a signal of new physics, we show that several ind... more Taking the reported high-Q 2 anomaly at HERA as a signal of new physics, we show that several independent considerations point towards s-channel leptoquark production as the most attractive interpretation. We argue that even this option is highly constrained by flavor-changing processes: the couplings must be accurately diagonal in the quark and lepton mass eigenstate basis and should preserve individual quark and lepton family numbers. We propose a dynamical mechanism that might produce this pattern; it has distinctive experimental consequences.
The membrane paradigm is the remarkable view that, to an external observer, a black hole appears ... more The membrane paradigm is the remarkable view that, to an external observer, a black hole appears to behave exactly like a dynamical fluid membrane, obeying such pre-relativistic equations as Ohm's law and the Navier-Stokes equation. It has traditionally been derived by manipulating the equations of motion. Here we provide an action formulation of this picture, clarifying what underlies the paradigm, and simplifying the derivations. Within this framework, we derive previous membrane results, and extend them to dyonic black hole solutions. We discuss how it is that an action can produce dissipative equations. Using a Euclidean path integral, we show that familiar semi-classical thermodynamic properties of black holes also emerge from the membrane action. Finally, in a Hamiltonian description, we establish the validity of a minimum entropy production principle for black holes.
We survey observational constraints on the parameter space of inflation and axions and map out tw... more We survey observational constraints on the parameter space of inflation and axions and map out two allowed windows: the classic window and the inflationary anthropic window. The cosmology of the latter is particularly interesting; inflationary axion cosmology predicts the existence of isocurvature fluctuations in the CMB, with an amplitude that grows with both the energy scale of inflation and the fraction of dark matter in axions. Statistical arguments favor a substantial value for the latter, and so current bounds on isocurvature fluctuations imply tight constraints on inflation. For example, an axion Peccei-Quinn scale of 10 16 GeV excludes any inflation model with energy scale > 3.8 × 10 14 GeV (r > 2 × 10 −9 ) at 95% confidence, and so implies negligible gravitational waves from inflation, but suggests appreciable isocurvature fluctuations.
We show that a geometrical notion of entropy, definable in flat space, governs the first quantum ... more We show that a geometrical notion of entropy, definable in flat space, governs the first quantum correction to the Bekenstein-Hawking black hole entropy.
We survey observational constraints on the parameter space of inflation and axions and map out tw... more We survey observational constraints on the parameter space of inflation and axions and map out two allowed windows: the classic window and the inflationary anthropic window. The cosmology of the latter is particularly interesting; inflationary axion cosmology predicts the existence of isocurvature fluctuations in the CMB, with an amplitude that grows with both the energy scale of inflation and the fraction of dark matter in axions. Statistical arguments favor a substantial value for the latter, and so current bounds on isocurvature fluctuations imply tight constraints on inflation. For example, an axion Peccei-Quinn scale of 10 16 GeV excludes any inflation model with energy scale > 3.8 × 10 14 GeV (r > 2 × 10 −9 ) at 95% confidence, and so implies negligible gravitational waves from inflation, but suggests appreciable isocurvature fluctuations.
... perturbative discontinuity; Zurab Berezhiani: Cosmological implications of the parallel uni... more ... perturbative discontinuity; Zurab Berezhiani: Cosmological implications of the parallel universe; Alexander Turbiner: Canonical discretization; Yuri Petrov: Natural reactor ... A. Yung: Confinement and flux tubes near Argyres-Douglas point in N= 2 QCD; M. Teper: Glueballs, fc ...
The predictions of SU(3) for charmed-meson decay are reanalyzed, allowing for expeoted new weak-m... more The predictions of SU(3) for charmed-meson decay are reanalyzed, allowing for expeoted new weak-mixing angles. ... (Some reference links may require a separate subscription.) ... SW Herb et al., Phys. Rev. Lett. 39, 252 (1977) [SPIN];[INSPEC];[CAS];[SPIRES].
We motivate and construct supersymmetric theories with continuous flavor symmetry, under which th... more We motivate and construct supersymmetric theories with continuous flavor symmetry, under which the electroweak Higgs doublets transform non-trivially. Flavor symmetry is spontaneously broken at a large mass scale in a sector of gauge-singlet fields; the light Higgs multiplets naturally emerge as special linear combinations that avoid acquiring the generic large mass. Couplings of the light Higgs doublets to light moduli fields from the singlet sector could lead to important effects in the phenomenology of the Higgs sector.
The fermion current induced by slow variations in background scalar and gauge fields are computed... more The fermion current induced by slow variations in background scalar and gauge fields are computed for a class of 2 + 1 dimensional sigma-like models. Local current densities proportional to topological currents in the background fields are found. The coefficient depends discontinuously on certain field ratios. The induced fermion numbers we find, mesh nicely with recent results on induced angular
The Fredkin three-bit gate is universal for computational logic, and is reversible. Classically, ... more The Fredkin three-bit gate is universal for computational logic, and is reversible. Classically, it is impossible to do universal computation using reversible two-bit gates only. Here we construct the Fredkin gate using a combination of six two-body reversible (quantum) operators.
It is argued that constant negative curvature provides a very convenient infrared regulator for i... more It is argued that constant negative curvature provides a very convenient infrared regulator for interacting euclidean quantum field theories . The two-dimensional XY model on a space with such curvature is disordered at arbitrarily small non-zero temperatures by topologically non-trivial fluctuations (vortices), even though the effect of perturbative fluctuations (spin-waves) is negligible at large distances. Similarly, constant negative curvature brings the infrared behavior of QCD (as well as the ultraviolet behavior, of course) under analytic control without any conflict with gauge invariance . In particular, for weak coupling there is a unique single instanton solution and the instanton gas is truly dilute.
Taking the reported high-Q 2 anomaly at HERA as a signal of new physics, we show that several ind... more Taking the reported high-Q 2 anomaly at HERA as a signal of new physics, we show that several independent considerations point towards s-channel leptoquark production as the most attractive interpretation. We argue that even this option is highly constrained by flavor-changing processes: the couplings must be accurately diagonal in the quark and lepton mass eigenstate basis and should preserve individual quark and lepton family numbers. We propose a dynamical mechanism that might produce this pattern; it has distinctive experimental consequences.
The membrane paradigm is the remarkable view that, to an external observer, a black hole appears ... more The membrane paradigm is the remarkable view that, to an external observer, a black hole appears to behave exactly like a dynamical fluid membrane, obeying such pre-relativistic equations as Ohm's law and the Navier-Stokes equation. It has traditionally been derived by manipulating the equations of motion. Here we provide an action formulation of this picture, clarifying what underlies the paradigm, and simplifying the derivations. Within this framework, we derive previous membrane results, and extend them to dyonic black hole solutions. We discuss how it is that an action can produce dissipative equations. Using a Euclidean path integral, we show that familiar semi-classical thermodynamic properties of black holes also emerge from the membrane action. Finally, in a Hamiltonian description, we establish the validity of a minimum entropy production principle for black holes.
We survey observational constraints on the parameter space of inflation and axions and map out tw... more We survey observational constraints on the parameter space of inflation and axions and map out two allowed windows: the classic window and the inflationary anthropic window. The cosmology of the latter is particularly interesting; inflationary axion cosmology predicts the existence of isocurvature fluctuations in the CMB, with an amplitude that grows with both the energy scale of inflation and the fraction of dark matter in axions. Statistical arguments favor a substantial value for the latter, and so current bounds on isocurvature fluctuations imply tight constraints on inflation. For example, an axion Peccei-Quinn scale of 10 16 GeV excludes any inflation model with energy scale > 3.8 × 10 14 GeV (r > 2 × 10 −9 ) at 95% confidence, and so implies negligible gravitational waves from inflation, but suggests appreciable isocurvature fluctuations.
We show that a geometrical notion of entropy, definable in flat space, governs the first quantum ... more We show that a geometrical notion of entropy, definable in flat space, governs the first quantum correction to the Bekenstein-Hawking black hole entropy.
We survey observational constraints on the parameter space of inflation and axions and map out tw... more We survey observational constraints on the parameter space of inflation and axions and map out two allowed windows: the classic window and the inflationary anthropic window. The cosmology of the latter is particularly interesting; inflationary axion cosmology predicts the existence of isocurvature fluctuations in the CMB, with an amplitude that grows with both the energy scale of inflation and the fraction of dark matter in axions. Statistical arguments favor a substantial value for the latter, and so current bounds on isocurvature fluctuations imply tight constraints on inflation. For example, an axion Peccei-Quinn scale of 10 16 GeV excludes any inflation model with energy scale > 3.8 × 10 14 GeV (r > 2 × 10 −9 ) at 95% confidence, and so implies negligible gravitational waves from inflation, but suggests appreciable isocurvature fluctuations.
... perturbative discontinuity; Zurab Berezhiani: Cosmological implications of the parallel uni... more ... perturbative discontinuity; Zurab Berezhiani: Cosmological implications of the parallel universe; Alexander Turbiner: Canonical discretization; Yuri Petrov: Natural reactor ... A. Yung: Confinement and flux tubes near Argyres-Douglas point in N= 2 QCD; M. Teper: Glueballs, fc ...
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Papers by Frank Wilczek