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Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons.I.
Second-Order Corrections Mean Field Evolution Weakly Interacting Bosons
2015/10/16
Inspired by the works of Rodnianski and Schlein [31] and Wu [34,35], we derive a new nonlinear Schrödinger equation that describes a second-order correction to the usual tensor product (mean-fiel...
Second-order corrections to mean field evolution of weakly interacting Bosons.II
Second-order corrections Mean field evolution Weakly interacting bosons
2015/10/16
We study the evolution of an N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper Grillakis, Machedon, and Margetis (2010) [13], in which we derived a second-o...
SECOND ORDER CORRECTIONS TO MEAN FIELD EVOLUTION FOR WEAKLY INTERACTING BOSONS, I
SECOND ORDER equation
2015/10/15
Inspired by the works of Rodnianski and Schlein [31]
and Wu [34, 35], we derive a new nonlinear Schr¨odinger equation
that describes a second-order correction to the usual tensor product (mean-ʂ...
SECOND-ORDER CORRECTIONS TO MEAN FIELD EVOLUTION OF WEAKLY INTERACTING BOSONS. II
SECOND-ORDER WEAKLY INTERACTING BOSONS
2015/10/15
We study the evolution of a N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper I [13], in which we derived a second-order correction
to a mean-field e...
The regularity conclusion in Lemma 1.4 is incorrect (G. Pappas gave a counterexample). Regularity of
X must be assumed as a hypothesis, and then the other conclusions follow (see below; also cf. [CEP...
ELECTROWEAK CORRECTIONS TO PARITY-VIOLATING NEUTRAL CURRENT SCATTERING
Resonance weak neutral axis vector transitional form axial vector electroweak radiation elastic electron scattering
2014/12/23
We analyze the degree to which parity-violating (PV) electroexcitation of the Δ(1232) resonance may be used to extract the weak neutral axial vector transition form factors. We find that the axial vec...
GENERAL-RELATIVITY AS AN EFFECTIVE-FIELD THEORY - THE LEADING QUANTUM CORRECTIONS
Effective gravity quantum field theory natural separation low energy quantum effects high energy massless particles
2014/12/23
I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within...
Analysis of O(p2) corrections to 〈ππ|Q7,8|K〉
K matrix element electroweak penguin operators K amplitude chiral measurement
2014/12/22
The one-loop corrections to K→π and K→2π matrix elements of the electroweak penguin operator are calculated. General next-to-leading order relations between the K→π and K→2π amplitudes are obtained. T...
Electromagnetic corrections to K ->pi pi. II. Dispersive matching
Electromagnetic virtual photons chiral perturbation theory the model of the resonance
2014/12/22
We express the leading electromagnetic corrections in K → ππ as integrals over the virtual photon squared-momentum Q2. The high Q2 behavior is obtained via the operator product expansion. The low Q2 b...
Electromagnetic corrections to K ->pi pi. I. Chiral perturbation theory
Electromagnetic octet chiral perturbation theory the amplitude
2014/12/22
An analysis of electromagnetic corrections to the (dominant) octet K → ππ hamiltonian using chiral perturbation theory is carried out. Relative shifts in amplitudes at the several per cent level are f...
Subleading corrections to parity-violating pion photoproduction
Light photons meson photovoltaic coupling
2014/12/22
We compute the photon asymmetry Bγ for near threshold parity-violating (PV) pion photoproduction through subleading order. We show that subleading contributions involve a new combination of PV couplin...
Electroweak radiative corrections to parity-violating electroexcitation of the Delta
Axial vector and axis vector electroweak radiation elastic electron scattering
2014/12/22
We analyze the degree to which parity-violating (PV) electroexcitation of the Δ(1232) resonance may be used to extract the weak neutral axial vector transition form factors. We find that the axial vec...
Quantum corrections to the Reissner-Nordstrom and Kerr-Newman metrics
Charged particles gravity quantum momentum space
2014/12/20
We use effective field theory techniques to examine the quantum corrections to the gravitational metrics of charged particles, with and without spin. In momentum space the masslessness of the photon i...
We extend in several respects our earlier work on O(p2) corrections to the matrix elements of the electroweak penguin operator Oewp. First, to facilitate comparison with certain lattice studies we cal...
Quantum gravitational corrections to the nonrelativistic scattering potential of two masses
General theory of relativity the scattering matrix the order of lap lap
2014/12/20
We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting...