Matteo Bertolini: Research
... String theory is an extension of ordinary quantum field theory which, besides other things, has the great virtue of being able to include also gravity into the game. For this reason, string theory is believed to be an all-encompassing theory of the Universe, unifying all forces of Nature. The price ...
... String theory is an extension of ordinary quantum field theory which, besides other things, has the great virtue of being able to include also gravity into the game. For this reason, string theory is believed to be an all-encompassing theory of the Universe, unifying all forces of Nature. The price ...
The origin of space-time as seen from matrix model simulations
... a natural candidate for a unified theory including quantum gravity ...
... a natural candidate for a unified theory including quantum gravity ...
Document
... The interacting fields obey the same commutation relations as the free fields. The plane waves (spinor solutions, free photons, and free mesons) are still solutions of the equations of motion and lead to the same expansion of the field operators as in the free case. The Feynman propagators are s ...
... The interacting fields obey the same commutation relations as the free fields. The plane waves (spinor solutions, free photons, and free mesons) are still solutions of the equations of motion and lead to the same expansion of the field operators as in the free case. The Feynman propagators are s ...
無投影片標題 - 2009 Asian Science Camp/Japan
... symmetry and gauge symmetry. The horizontal arrows represent symmetry transformations which relate the solutions (sol. in the diagram). For the left column, these solutions represent different physical states. For the right column, they represent the same physical state. ...
... symmetry and gauge symmetry. The horizontal arrows represent symmetry transformations which relate the solutions (sol. in the diagram). For the left column, these solutions represent different physical states. For the right column, they represent the same physical state. ...
Hyakutake_KIAS2014
... The simulation data is nicely fitted by the above function up to Therefore we conclude the gauge/gravity correspondence is correct even if we take account of the finite contributions. It is interesting to study the region of quite low temperature numerically to understand the final state of the blac ...
... The simulation data is nicely fitted by the above function up to Therefore we conclude the gauge/gravity correspondence is correct even if we take account of the finite contributions. It is interesting to study the region of quite low temperature numerically to understand the final state of the blac ...
General formula of effective potential in 5D SU(N) - www
... We showed a simple method to calculate the effective potential of the Wilson line phase at 1-loop level. The effective potential can be written in terms of the eigenvalues of generators to which directions A5 acquires non-vanishing VEVs. This method does not need any troublesome calculation using the ...
... We showed a simple method to calculate the effective potential of the Wilson line phase at 1-loop level. The effective potential can be written in terms of the eigenvalues of generators to which directions A5 acquires non-vanishing VEVs. This method does not need any troublesome calculation using the ...
Document
... where T is the period of the (classical) motion, we get that only special orbits are allowed. Here, information loss sets in. The special orbits are the stable limit cycles! ...
... where T is the period of the (classical) motion, we get that only special orbits are allowed. Here, information loss sets in. The special orbits are the stable limit cycles! ...
How to Quantize Yang-Mills Theory?
... As we have mentioned, a test of the path integral formulation presented itself in the quantization in the Coulomb gauge. The canonical quantization in the Coulomb gauge was first done by Schwinger,6 while the path-integral quantization in the Coulomb gauge was first done by Abers and Lee.’ These two ...
... As we have mentioned, a test of the path integral formulation presented itself in the quantization in the Coulomb gauge. The canonical quantization in the Coulomb gauge was first done by Schwinger,6 while the path-integral quantization in the Coulomb gauge was first done by Abers and Lee.’ These two ...
FIELD THEORY 1. Consider the following lagrangian1
... The minimal Goldstone model : consider the classical Lagrangian for a real scalar field L = 12 ∂ µ φ (x) ∂ µ φ (x) + 12 µ 2 φ 2 (x) − 14 λ φ 4 (x) with µ ∈ R and λ > 0 1. Find all the symmetries of the above field theoretic model 2. Write the energy momentum tensor as well as the total energy and to ...
... The minimal Goldstone model : consider the classical Lagrangian for a real scalar field L = 12 ∂ µ φ (x) ∂ µ φ (x) + 12 µ 2 φ 2 (x) − 14 λ φ 4 (x) with µ ∈ R and λ > 0 1. Find all the symmetries of the above field theoretic model 2. Write the energy momentum tensor as well as the total energy and to ...
Non perturbative QCD
... Example, the 4 theory: the field is a real function of space-time. Te Lagrangian defines its dynamics (we shall see how): L = 1/2 (∂µ(x))2 - 1/2 m2 2 (x) - /4! 4(x) The action is defined for all field theory by S=∫d4x L (x) ...
... Example, the 4 theory: the field is a real function of space-time. Te Lagrangian defines its dynamics (we shall see how): L = 1/2 (∂µ(x))2 - 1/2 m2 2 (x) - /4! 4(x) The action is defined for all field theory by S=∫d4x L (x) ...
Theory of Spin-Orbit-Coupled Cold Atomic Systems
... 1. Diagonalize Ĥa−l via a unitary rotation, Ĥa−l → Û †(r)Ĥa−lÛ (r) 2. Project the result onto the dark subspace ...
... 1. Diagonalize Ĥa−l via a unitary rotation, Ĥa−l → Û †(r)Ĥa−lÛ (r) 2. Project the result onto the dark subspace ...
1 Equal-time and Time-ordered Green Functions Predictions for
... field theory, many body theory, and equilibrium statistical mechanics. Time-ordered Green functions are most useful in scattering problems: the Lehmann-Symanzik-Zimmermann (LSZ) reduction formula (PeskinSchroeder §7.2) converts time-ordered Green functions to S-matrix elements which determine scatte ...
... field theory, many body theory, and equilibrium statistical mechanics. Time-ordered Green functions are most useful in scattering problems: the Lehmann-Symanzik-Zimmermann (LSZ) reduction formula (PeskinSchroeder §7.2) converts time-ordered Green functions to S-matrix elements which determine scatte ...
asu-higgs-temp1 - Experimental Elementary Particle Physics
... understand the common elements of these forces and particles Perhaps they can be unified in the sense that electricity and magnetism are unified as electromagnetism And in fact, in the 1960’s it was shown that the electromagnetic force and weak force had a common origin ...
... understand the common elements of these forces and particles Perhaps they can be unified in the sense that electricity and magnetism are unified as electromagnetism And in fact, in the 1960’s it was shown that the electromagnetic force and weak force had a common origin ...
Brown-Henneaux`s Canonical Approach to Topologically Massive
... dimensional gravity theory. • Strong coupling limit of the gauge theory can be studied by the classical gravity. • Applied to QCD or condensed matter physics. However, it is difficult to prove the gauge/gravity correspondence directly. Our work • Take account of the quantum effect in the gravity sid ...
... dimensional gravity theory. • Strong coupling limit of the gauge theory can be studied by the classical gravity. • Applied to QCD or condensed matter physics. However, it is difficult to prove the gauge/gravity correspondence directly. Our work • Take account of the quantum effect in the gravity sid ...
Canonical quantization of scalar fields
... Recall, in classical mechanics, starting with lagrangian as a function of coordinates and their time derivatives we define conjugate ...
... Recall, in classical mechanics, starting with lagrangian as a function of coordinates and their time derivatives we define conjugate ...
Chern-Simons theory and the fractional quantum Hall effect
... space, and the Poisson structure is mapped into a commutation relations between these operators: {∗, ∗} → −ih̄[∗, ∗]. We have then Ĥ = ih̄∂t , p̂ = −ih̄∇ and x̂ and  act multiplicatively on the quantum states. The hamiltonian reads ...
... space, and the Poisson structure is mapped into a commutation relations between these operators: {∗, ∗} → −ih̄[∗, ∗]. We have then Ĥ = ih̄∂t , p̂ = −ih̄∇ and x̂ and  act multiplicatively on the quantum states. The hamiltonian reads ...
Quantum field theory and knot invariants
... There are three notable features: • we are using propagators on subspaces with shared boundary; • we combine them with an inner product-like thing to get the full propagator; • in the integrand, the functions U (xint , x; t0 ) and U (x0 , xint ; t − t0 ) depend only on position xint , hence live in ...
... There are three notable features: • we are using propagators on subspaces with shared boundary; • we combine them with an inner product-like thing to get the full propagator; • in the integrand, the functions U (xint , x; t0 ) and U (x0 , xint ; t − t0 ) depend only on position xint , hence live in ...
PDF
... since this choice produces an operator that is self-adjoint and therefore corresponds to a physical observable. More generally, there is a construction known as Weyl quantization that uses Fourier transforms to extend the substitution rules (??)-(??) to a map C ∞ (T ∗ X) → Op(H) f 7→ fˆ. Remark. Thi ...
... since this choice produces an operator that is self-adjoint and therefore corresponds to a physical observable. More generally, there is a construction known as Weyl quantization that uses Fourier transforms to extend the substitution rules (??)-(??) to a map C ∞ (T ∗ X) → Op(H) f 7→ fˆ. Remark. Thi ...
Solution Set 8 Worldsheet perspective on CY compactification
... branch. Hence there is just one special value of r, θ where a new noncompact σ branch sticks out of our vacuum manifold. (g) We saw above in section (d) how to make a GLSM for an orbifold. Consider the GLSM with one U(1) and three chiral fields (Z 1 , Z 2 , P ) of charges (1, N − 1, −N). Show that t ...
... branch. Hence there is just one special value of r, θ where a new noncompact σ branch sticks out of our vacuum manifold. (g) We saw above in section (d) how to make a GLSM for an orbifold. Consider the GLSM with one U(1) and three chiral fields (Z 1 , Z 2 , P ) of charges (1, N − 1, −N). Show that t ...
Lecture notes for FYS610 Many particle Quantum Mechanics
... best for unconstrained systems defined in Cartesian coordinates in Newtonian or specialrelativistic space-time. It is much harder, or impossible, to apply for constrained systems, including gauge field theories and systems defined in a curved space-time. Canonical quantization is not the only quanti ...
... best for unconstrained systems defined in Cartesian coordinates in Newtonian or specialrelativistic space-time. It is much harder, or impossible, to apply for constrained systems, including gauge field theories and systems defined in a curved space-time. Canonical quantization is not the only quanti ...
Spontaneous breaking of continuous symmetries
... to the path integral. Changing integration variables from and we must include the functional determinant: ...
... to the path integral. Changing integration variables from and we must include the functional determinant: ...
perturbative expansion of chern-simons theory with non
... current algebra [1]. As long as G is compact, it is quite true that in the perturbative expansion of (1.2), one “sees” only the Casimir invariants of G. One is also interested, however, in Chern-Simons theory for non-compact G, in part because of the relation to three dimensional quantum general rel ...
... current algebra [1]. As long as G is compact, it is quite true that in the perturbative expansion of (1.2), one “sees” only the Casimir invariants of G. One is also interested, however, in Chern-Simons theory for non-compact G, in part because of the relation to three dimensional quantum general rel ...
Classical solutions of open string field theory
... Let us be more generous and add an operator B such that QB=K. The building elements thus obey ...
... Let us be more generous and add an operator B such that QB=K. The building elements thus obey ...