8. Quantum field theory on the lattice
... The Wilson loops become exponentially small (∼ e−σRT ) as the size increases. However, the statistical noise is ∼ constant in magnitude independent of loop size! Thus, we need to increase the number of measurements exponentially as the loop size increases. ...
... The Wilson loops become exponentially small (∼ e−σRT ) as the size increases. However, the statistical noise is ∼ constant in magnitude independent of loop size! Thus, we need to increase the number of measurements exponentially as the loop size increases. ...
transparencies - Indico
... High-energy physics covers an enormous range of energies At the highest energies, we need a theory of quantum gravity—a theory that includes quantum mechanics and general relativity String theory, in which the fundamental ingredients are oscillating, vibrating strings, is the leading candidate ...
... High-energy physics covers an enormous range of energies At the highest energies, we need a theory of quantum gravity—a theory that includes quantum mechanics and general relativity String theory, in which the fundamental ingredients are oscillating, vibrating strings, is the leading candidate ...
Non-local quantum effects in cosmology 1
... equations governing the scale factor a(t), which in the classical theory are local differential equations. The effects of loops will generate new contributions where the equation for the scale factor depends on what the scale factor was doing in the past. We refer to this effect as the quantum memor ...
... equations governing the scale factor a(t), which in the classical theory are local differential equations. The effects of loops will generate new contributions where the equation for the scale factor depends on what the scale factor was doing in the past. We refer to this effect as the quantum memor ...
The renormalization of charge and temporality in - Philsci
... to infinity, so that the radiative correction term “remains well-defined and finite in this limit and independent of the details of the regularization procedure” (Mandl 1984, 191). This method to overturn the problem of infinites in quantum electrodynamics was summarized by Feynman in one of his QED ...
... to infinity, so that the radiative correction term “remains well-defined and finite in this limit and independent of the details of the regularization procedure” (Mandl 1984, 191). This method to overturn the problem of infinites in quantum electrodynamics was summarized by Feynman in one of his QED ...
2006-11-14-RAL-Wang - Indico
... challenge is to detect the spacetime fluctuations unambiguously. ...
... challenge is to detect the spacetime fluctuations unambiguously. ...
review of Quantum Fields and Strings
... Quantum field theory is the currently accepted theory of the elementary particles and their interactions. For instance, quarks (the constituents of protons and neutrons) and electrons are described by quantum fields. The interactions (electromagnetic and nuclear forces) between these particles are a ...
... Quantum field theory is the currently accepted theory of the elementary particles and their interactions. For instance, quarks (the constituents of protons and neutrons) and electrons are described by quantum fields. The interactions (electromagnetic and nuclear forces) between these particles are a ...
On Gauge Invariance and Covariant Derivatives in Metric Spaces
... tensor and its ordinary partial derivatives. Thus, a general quantum theory of gravity can be described by metric, a symmetric covariant second rank tensor and the torsion tensor. The second field is usually not considered in quantum theories of gravity. These two fields may become relevant to expla ...
... tensor and its ordinary partial derivatives. Thus, a general quantum theory of gravity can be described by metric, a symmetric covariant second rank tensor and the torsion tensor. The second field is usually not considered in quantum theories of gravity. These two fields may become relevant to expla ...
The AdS/CFT correspondence and condensed matter physics
... correspondence [29]. It is a remarkable duality between gravitational systems and ultra-cold atoms, which is only possible because of the loss of a physical length scale in the condensed matter system. It is this that allows the duality to be conjectured, and the reason that systems that naively ha ...
... correspondence [29]. It is a remarkable duality between gravitational systems and ultra-cold atoms, which is only possible because of the loss of a physical length scale in the condensed matter system. It is this that allows the duality to be conjectured, and the reason that systems that naively ha ...
Loop quantum gravity - Institute for Gravitation and the Cosmos
... These ideas were brilliant and inspiring, but it was more and fluctuating object. We can, of course, still call it “space”, than two decades before they become concrete. The turnor “quantum space”, as indeed I do in this article. But it is around came suddenly at the end of the 1980s, when a well re ...
... These ideas were brilliant and inspiring, but it was more and fluctuating object. We can, of course, still call it “space”, than two decades before they become concrete. The turnor “quantum space”, as indeed I do in this article. But it is around came suddenly at the end of the 1980s, when a well re ...
Quantum cobordisms and formal group laws
... bundles of the moduli spaces of stable maps and their characteristic classes, one can extend Gromov–Witten invariants to take values in the cobordism ring U ∗ . The Quantum Hirzebruch–Riemann–Roch Theorem (see [5]) expresses cobordism-valued Gromov–Witten invariants of X in terms of cohomological on ...
... bundles of the moduli spaces of stable maps and their characteristic classes, one can extend Gromov–Witten invariants to take values in the cobordism ring U ∗ . The Quantum Hirzebruch–Riemann–Roch Theorem (see [5]) expresses cobordism-valued Gromov–Witten invariants of X in terms of cohomological on ...
Dark Energy from Violation of Energy Conservation
... so far most successful, theoretical model that could account for the observed behavior. The origin of this puzzle is that, within the usual framework, the only seemingly natural values that Λ could take are either zero or a value which is 120 orders of magnitude larger than the one indicated by obse ...
... so far most successful, theoretical model that could account for the observed behavior. The origin of this puzzle is that, within the usual framework, the only seemingly natural values that Λ could take are either zero or a value which is 120 orders of magnitude larger than the one indicated by obse ...
Probing order beyond the Landau paradigm
... - Fixed surfaces {Proj. rep. of G such that is a rep. of G} - e.g., G = SO(3), = spin-1/2: Haldane spin-1 chain! Only nontrivial possibilities are generalizations of spin-1 chain ...
... - Fixed surfaces {Proj. rep. of G such that is a rep. of G} - e.g., G = SO(3), = spin-1/2: Haldane spin-1 chain! Only nontrivial possibilities are generalizations of spin-1 chain ...
Compact dimensions
... • Radiative corrections to elementary gauge boson masses grow logarithmically, i.e Log ─ power-law dependence cancels due to gauge symmetry remain small • Radiative corrections to elementary scalar masses grow quadratically as cutoff scale, i.e. 2 ─ not protected by any (known) symmetry c ...
... • Radiative corrections to elementary gauge boson masses grow logarithmically, i.e Log ─ power-law dependence cancels due to gauge symmetry remain small • Radiative corrections to elementary scalar masses grow quadratically as cutoff scale, i.e. 2 ─ not protected by any (known) symmetry c ...
Time Evolution of States for Open Quantum
... in H, ĤS in HS , ĤE in HE . Moreover most of the results stated here are valid when the Hamiltonians are time dependent, assuming that their propagators exist as unitary operators in the corresponding Hilbert space. Quantum observables are denoted with a hat accent, the corresponding classical obs ...
... in H, ĤS in HS , ĤE in HE . Moreover most of the results stated here are valid when the Hamiltonians are time dependent, assuming that their propagators exist as unitary operators in the corresponding Hilbert space. Quantum observables are denoted with a hat accent, the corresponding classical obs ...
17 Is Quantum Gravity Necessary?
... interpretation of the significance of their experiment. I won’t pursue this here, but instead I will question another of Page and Geilker’s assumptions. Because they assume that the only possible interpretations of quantum mechanics are Cøpenhagen and Everett’s relative state formulation, they conclu ...
... interpretation of the significance of their experiment. I won’t pursue this here, but instead I will question another of Page and Geilker’s assumptions. Because they assume that the only possible interpretations of quantum mechanics are Cøpenhagen and Everett’s relative state formulation, they conclu ...
Aalborg Universitet
... connected to ideal leads where the carriers are quasi free fermions, is completely characterized by a one particle scattering matrix. Many people have since contributed to the justification of this formalism, starting from the first principles of non-equilibrium quantum statistical mechanics. In thi ...
... connected to ideal leads where the carriers are quasi free fermions, is completely characterized by a one particle scattering matrix. Many people have since contributed to the justification of this formalism, starting from the first principles of non-equilibrium quantum statistical mechanics. In thi ...
Effect of a scale-dependent cosmological term on the motion of
... of long distance and short distance effects is not trivial. In the case of gravity this problem is even more serious, because while speaking of gravitons as of elementary particles we rely on the concept of Lorentz symmetry; but at the same time we admit that a decay of these particles could be cau ...
... of long distance and short distance effects is not trivial. In the case of gravity this problem is even more serious, because while speaking of gravitons as of elementary particles we rely on the concept of Lorentz symmetry; but at the same time we admit that a decay of these particles could be cau ...
this PDF file - e
... In the same era, the theory that tries to understand the behaviour of small objects (or particle) emerges, known as the quantum theory. Then, because subatomic particle travel with speed close to light speed (c = 3 x 108 m/s), the special theory of relativity is considered to play a role in quantum ...
... In the same era, the theory that tries to understand the behaviour of small objects (or particle) emerges, known as the quantum theory. Then, because subatomic particle travel with speed close to light speed (c = 3 x 108 m/s), the special theory of relativity is considered to play a role in quantum ...
MATTERS OF GRAVITY *******Anniversary Edition******* Contents
... the life span of Matters of Gravity roughly coincides with the life span of LIGO (the Laser Interferometer Gravitational Wave Observatory, in case anyone doesn’t know) as an approved project. There is of course a long pre-history to LIGO – the inception of the idea, planning and feasibility studies, ...
... the life span of Matters of Gravity roughly coincides with the life span of LIGO (the Laser Interferometer Gravitational Wave Observatory, in case anyone doesn’t know) as an approved project. There is of course a long pre-history to LIGO – the inception of the idea, planning and feasibility studies, ...
Progress In N=2 Field Theory - Rutgers Physics
... related results by Joyce, and & Vafa and Manschot, Pioline, & Sen. Joyce & Song. ...
... related results by Joyce, and & Vafa and Manschot, Pioline, & Sen. Joyce & Song. ...
Progress In N=2 Field Theory
... Some Physical Questions 1. Given a QFT what is the spectrum of the Hamiltonian? ...
... Some Physical Questions 1. Given a QFT what is the spectrum of the Hamiltonian? ...
Gravity as an Emergent Phenomenon
... Currently, there exist several potential solutions to reconcile gravity with quantum mechanics, or at least discover the fundamental nature of gravity. The first and most intuitive solution for physicists is to quantize gravity just like how the electromagnetic fields have been. If the other forces ...
... Currently, there exist several potential solutions to reconcile gravity with quantum mechanics, or at least discover the fundamental nature of gravity. The first and most intuitive solution for physicists is to quantize gravity just like how the electromagnetic fields have been. If the other forces ...