Introduction to PHY 855 “Introduction to field theory as it
... /1/ NRQFT is not consistent with special relativity. /2/ NRQFT is an approximation to RQFT, valid if the relevant forms of energy (kinetic, potential, field energies) are << mc2. /3/ The fundamental interactions (except gravity) are described by RQFTs. ...
... /1/ NRQFT is not consistent with special relativity. /2/ NRQFT is an approximation to RQFT, valid if the relevant forms of energy (kinetic, potential, field energies) are << mc2. /3/ The fundamental interactions (except gravity) are described by RQFTs. ...
The 1/N expansion method in quantum field theory
... a well defined fixed value in each physical problem, N = 2, 3, . . . , etc. It is however tempting to consider the case where N is a free parameter which can be varied at will. In particular, large values of N , with the limit N → ∞, seem to be of interest. At first sight, it might seem that taking ...
... a well defined fixed value in each physical problem, N = 2, 3, . . . , etc. It is however tempting to consider the case where N is a free parameter which can be varied at will. In particular, large values of N , with the limit N → ∞, seem to be of interest. At first sight, it might seem that taking ...
Lecture
... Ex. Compute the fate of a BH with TH=100 MeV (M0=1011 kg, tev=3 Ga). When has T grown to 100 GeV and how much of M has then been radiated (at 3Ga-3a, 0.999M0). Ex. Motivate S ~ A/G by arguing that for a system of particles of mass m one has S ~ M/m but one has to make sure that the Compton wave leng ...
... Ex. Compute the fate of a BH with TH=100 MeV (M0=1011 kg, tev=3 Ga). When has T grown to 100 GeV and how much of M has then been radiated (at 3Ga-3a, 0.999M0). Ex. Motivate S ~ A/G by arguing that for a system of particles of mass m one has S ~ M/m but one has to make sure that the Compton wave leng ...
Key ideas that led to QED vacuum consists of "sea of electrons
... • mass renormalization due to the ultraviolet/infrared divergence of the photon field; • charge renormalization, again due to the infinitely many charges in the Dirac sea. Only then, the n-th sum and of the above expression makes sense. Even after all these manipulations, convergence of the sequence ...
... • mass renormalization due to the ultraviolet/infrared divergence of the photon field; • charge renormalization, again due to the infinitely many charges in the Dirac sea. Only then, the n-th sum and of the above expression makes sense. Even after all these manipulations, convergence of the sequence ...
A first view on the mathematical structure of the standard
... the renormalization causes the abolishment of divergent terms based on self-energy-content, which consequently ...
... the renormalization causes the abolishment of divergent terms based on self-energy-content, which consequently ...
The origin of space-time as seen from matrix model simulations
... Unlike the Euclidean model, the path integral is ill-defined ! Introduce IR cutoff in both the temporal and spatial directions ...
... Unlike the Euclidean model, the path integral is ill-defined ! Introduce IR cutoff in both the temporal and spatial directions ...
The Quantum Space-Time - Institute for Advanced Study
... • There is great deal of evidence that there exists a full quantum theory, ``string theory’’, describing the quantum mechanics of spacetime. • It passes many physical consistency checks: Lorentz invariance, unitarity, reproduces the low energy effective field theory approximation, etc. • Mathematica ...
... • There is great deal of evidence that there exists a full quantum theory, ``string theory’’, describing the quantum mechanics of spacetime. • It passes many physical consistency checks: Lorentz invariance, unitarity, reproduces the low energy effective field theory approximation, etc. • Mathematica ...
Thirteenth quantum mechanics sheet
... From b) it follows that it is possible to form joint Eigenvectors of J~2 , J3 , L these Eigenvectors |j, mj ; l, si with J~2 |j, mj ; l, si = h̄2 j(j + 1)|j, mj ; l, si J3 |j, mj ; l, si = h̄mj |j, mj ; l, si ~ 2 |j, mj ; l, si = h̄2 l(l + 1)|j, mj ; l, si L ~ 2 |j, mj ; l, si = h̄2 s(s + 1)|j, mj ; ...
... From b) it follows that it is possible to form joint Eigenvectors of J~2 , J3 , L these Eigenvectors |j, mj ; l, si with J~2 |j, mj ; l, si = h̄2 j(j + 1)|j, mj ; l, si J3 |j, mj ; l, si = h̄mj |j, mj ; l, si ~ 2 |j, mj ; l, si = h̄2 l(l + 1)|j, mj ; l, si L ~ 2 |j, mj ; l, si = h̄2 s(s + 1)|j, mj ; ...
KS-DFT formalism
... has invaded our thinking is marked by our constant use of concepts which have meaning only in terms of independent particle wave functions: shell structure, the occupation number, the Fermi sea and the Fermi surface, the representation of perturbation theory by Feynman diagrams. All of these concept ...
... has invaded our thinking is marked by our constant use of concepts which have meaning only in terms of independent particle wave functions: shell structure, the occupation number, the Fermi sea and the Fermi surface, the representation of perturbation theory by Feynman diagrams. All of these concept ...
Desperately Seeking Superstrings
... Detection Initiative” with a catchy name like “String Wars” could get us to energies where superstrings are relevant. We are stuck with a gap of 16 orders of magnitude between theoretical strings and observable particles, unbridgeable by any currently envisioned experiment. Conventional grand unifie ...
... Detection Initiative” with a catchy name like “String Wars” could get us to energies where superstrings are relevant. We are stuck with a gap of 16 orders of magnitude between theoretical strings and observable particles, unbridgeable by any currently envisioned experiment. Conventional grand unifie ...
Theoretical physics master program
... analyzing, writing etc. Theory and evidence Kuhn’s philosophy of science Empiricism vs scientific realism ...
... analyzing, writing etc. Theory and evidence Kuhn’s philosophy of science Empiricism vs scientific realism ...
The Lee-Wick Fields out of Gravity
... predictions could still be made from it within the framework of effective field theories [3][4]. From the value of the only dimensionful coupling constant G, Newton’s constant, in the HilbertEinstein Lagrangian, one can see that gravitational effects are tiny at energies E ≪ MP ∼ ...
... predictions could still be made from it within the framework of effective field theories [3][4]. From the value of the only dimensionful coupling constant G, Newton’s constant, in the HilbertEinstein Lagrangian, one can see that gravitational effects are tiny at energies E ≪ MP ∼ ...
1 Equal-time and Time-ordered Green Functions Predictions for
... are labeled by sets {n1, n2, . . .} of non-negative integers. The integer nk can be interpreted as the number of quasi-particles with energy ωk . The state |0i = |0, 0, . . .i with all nk = 0 is called the quasi-particle vacuum state. By construction, the quasi-particles are identical and obey Bose- ...
... are labeled by sets {n1, n2, . . .} of non-negative integers. The integer nk can be interpreted as the number of quasi-particles with energy ωk . The state |0i = |0, 0, . . .i with all nk = 0 is called the quasi-particle vacuum state. By construction, the quasi-particles are identical and obey Bose- ...
Group Theory
... Group Theory This is a course on group theory, representation theory and their applications to quantum mechanics. The main part of the course deals with discrete finite groups, while a brief introduction into infinite continuous groups is given in the last part. The main objective is to make the par ...
... Group Theory This is a course on group theory, representation theory and their applications to quantum mechanics. The main part of the course deals with discrete finite groups, while a brief introduction into infinite continuous groups is given in the last part. The main objective is to make the par ...
On matrix theory, graph theory, and finite geometry
... set of matrices that preserve some function, subset or a relation. If the studied maps are bijective by the assumption, then the characterization of the maps involved is often easier to obtain. In the case of certain preservers of binary relations it turns out that bijectivity can be deduced automat ...
... set of matrices that preserve some function, subset or a relation. If the studied maps are bijective by the assumption, then the characterization of the maps involved is often easier to obtain. In the case of certain preservers of binary relations it turns out that bijectivity can be deduced automat ...