Bethe Ansatz in AdS/CFT: from local operators to classical strings
... Cosmology Particle Astrophysics and String theory* (Stockholm ...
... Cosmology Particle Astrophysics and String theory* (Stockholm ...
A Beginner`s Guide to Noncommutative Geometry
... space, the principle of least action, Euler-Lagrange equations Hamiltonian mechanics: symplectic manifolds, phase space and its symplectic structure, Poisson manifolds, Hamilton’s equation of motion, Liouville’s theorem completely integrable systems and Arnold-Liouville theorem on invariant tori sym ...
... space, the principle of least action, Euler-Lagrange equations Hamiltonian mechanics: symplectic manifolds, phase space and its symplectic structure, Poisson manifolds, Hamilton’s equation of motion, Liouville’s theorem completely integrable systems and Arnold-Liouville theorem on invariant tori sym ...
Blue Border - Michigan State University
... with a few assumptions, this value can be calculated explicitly so from another perspective, spacetime is not strictly Euclidean ...
... with a few assumptions, this value can be calculated explicitly so from another perspective, spacetime is not strictly Euclidean ...
It is widespread, if not common, belief that time
... It is widespread (if not common) belief that the laws of physics – such as the Newtonian equations of motion, the Maxwell equations of electrodynamics, the equations of quantum mechanics, special and general relativity – remain invariant under the transformation t t. ...
... It is widespread (if not common) belief that the laws of physics – such as the Newtonian equations of motion, the Maxwell equations of electrodynamics, the equations of quantum mechanics, special and general relativity – remain invariant under the transformation t t. ...
Chapter 1 Introduction
... course, this feature may be taken as a shortcoming of the theory: One might argue that the theory does not “provide the full story”. Surely the state of the system must have been determined beforehand, merely revealed by the measurement. After all, we encounter loads of random processes in physics a ...
... course, this feature may be taken as a shortcoming of the theory: One might argue that the theory does not “provide the full story”. Surely the state of the system must have been determined beforehand, merely revealed by the measurement. After all, we encounter loads of random processes in physics a ...
Basics of Lattice Quantum Field Theory∗
... Wilson loop: A closed loop on the lattice is given by a cyclic sequence of points C = {x1, x2, , xn } such that (xi , xi+1) are nearest neigbors (cyclic: xn+1 = x1). Setting xi+1 = xi + aµ̂i the Wilson loop observable is W (C) = tr[U (x1, µ1)U (x2, µ2) U (xn , µn)] ...
... Wilson loop: A closed loop on the lattice is given by a cyclic sequence of points C = {x1, x2, , xn } such that (xi , xi+1) are nearest neigbors (cyclic: xn+1 = x1). Setting xi+1 = xi + aµ̂i the Wilson loop observable is W (C) = tr[U (x1, µ1)U (x2, µ2) U (xn , µn)] ...
Black hole fireworks: quantum-gravity effects outside the horizon
... uncritical assumption: that Nature should be well approximated by one and the same solution of the classical equations in the entire region where curvature is small. This is a prejudice because it neglects the fact that small effects can pile up in the long term. If a perturbation is small, then the ...
... uncritical assumption: that Nature should be well approximated by one and the same solution of the classical equations in the entire region where curvature is small. This is a prejudice because it neglects the fact that small effects can pile up in the long term. If a perturbation is small, then the ...
quantum field theory course version 03
... 1.2.1. Normed vector spaces. 1.2.2. Derivatives of maps between normed vector spaces. 1.2.3. Affine spaces over vector spaces. 1.2.4. Comparison of notions of a differential. 1.3. Calculus of Variations on an interval. We are interested in the critical points of a functional S[x] on the space of all ...
... 1.2.1. Normed vector spaces. 1.2.2. Derivatives of maps between normed vector spaces. 1.2.3. Affine spaces over vector spaces. 1.2.4. Comparison of notions of a differential. 1.3. Calculus of Variations on an interval. We are interested in the critical points of a functional S[x] on the space of all ...
Black hole fireworks: quantum-gravity effects outside the horizon
... uncritical assumption: that Nature should be well approximated by one and the same solution of the classical equations in the entire region where curvature is small. This is a prejudice because it neglects the fact that small effects can pile up in the long term. If a perturbation is small, then the ...
... uncritical assumption: that Nature should be well approximated by one and the same solution of the classical equations in the entire region where curvature is small. This is a prejudice because it neglects the fact that small effects can pile up in the long term. If a perturbation is small, then the ...
Supersymmetry and Lorentz Invariance as Low-Energy
... Lorentz invariance is obtained as a low-energy symmetry, with the correct coupling of Standard Model fermions and sfermions etc. to the gravitational vierbein. A primitive form of supersymmetry emerges, which can be reformulated to yield standard supersymmetry. At very high energy there is a v ...
... Lorentz invariance is obtained as a low-energy symmetry, with the correct coupling of Standard Model fermions and sfermions etc. to the gravitational vierbein. A primitive form of supersymmetry emerges, which can be reformulated to yield standard supersymmetry. At very high energy there is a v ...
Extension of Lorentz Group Representations for Chiral Fermions
... harmonic oscillator. The meter harmonic oscillator is in the vacuum state |0i with vanishing expectation values, h0|P |0i and h0|Q|0i. The combined, system and meter, state is given by |ψi|0i; and, the fact that [θ1 , θ2 ] is zero implies that the expectations, hψ|p|ψi and hψ|q|ψi, can be obtained s ...
... harmonic oscillator. The meter harmonic oscillator is in the vacuum state |0i with vanishing expectation values, h0|P |0i and h0|Q|0i. The combined, system and meter, state is given by |ψi|0i; and, the fact that [θ1 , θ2 ] is zero implies that the expectations, hψ|p|ψi and hψ|q|ψi, can be obtained s ...
Gonzalez-MestresICNFP2016talkPPTX
... We show that there is a classical metric satisfying the Einstein equations outside a finite spacetime region where matter collapses into a black hole and then emerges from a white hole. We compute this metric explicitly. We show how quantum theory determines the (long) time for the process to happen ...
... We show that there is a classical metric satisfying the Einstein equations outside a finite spacetime region where matter collapses into a black hole and then emerges from a white hole. We compute this metric explicitly. We show how quantum theory determines the (long) time for the process to happen ...
Factorization Method and the Position
... as well as classical systems in curved spaces [7], just to mention few ones. The very concept of a PDM system is a fundamental problem which is far from being completely understood. Many contributions have been developed over the last years in different approaches [8–19]. In the quantum mechanical re ...
... as well as classical systems in curved spaces [7], just to mention few ones. The very concept of a PDM system is a fundamental problem which is far from being completely understood. Many contributions have been developed over the last years in different approaches [8–19]. In the quantum mechanical re ...
Quantum Nonlocality
... back into the realm of possibility, potentiality. A million year later someone tries to measure the color of one of the electrons. The act of measurement causes its wavefunction to collapse. It becomes embodied and takes on one of two possible values of color: red, or blue. Say it become blue. Becau ...
... back into the realm of possibility, potentiality. A million year later someone tries to measure the color of one of the electrons. The act of measurement causes its wavefunction to collapse. It becomes embodied and takes on one of two possible values of color: red, or blue. Say it become blue. Becau ...