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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometric Singular Perturbation Theory and Traveling Pulses with Monotone Tails in a Diffusive Rosenzweig MacArthur Model
扩散 罗森茨威格麦克阿瑟模型 几何奇异摄动理论 单调尾巴行进脉冲
2023/5/5
In this talk, we first briefly review history of the geometric singular perturbation theory, then talk about the traveling pulses for a diffusive Rosenzweig MacArthur model. We show the existence of t...
Matter-wave solitons in the presence of collisional inhomogeneities: Perturbation theory and the impact of derivative terms
Dynamic soliton atomic scattering length nonlinear dynamic
2014/12/24
We investigate the dynamics of matter-wave solitons in the presence of a spatially varying atomic scattering length and nonlinearity. The dynamics of bright and dark solitary waves is studied using th...
Recently methods have been developed which exploit the chiral symmetry of QCD in order to make rigorous contact with low energy particle physics phenomenology. In these lectures we present a pedagogic...
2-LOOP ANALYSIS OF VECTOR-CURRENT PROPAGATORS IN CHIRAL PERTURBATION-THEORY
Isospin hypercharged vector breeding experts chiral perturbation theory
2014/12/23
We perform a calculation of the isospin and hypercharge vector-current propagators (ΔV33μν(q2) and ΔV88μν(q2)) to two loops in chiral perturbation theory. The analysis is carried out with straight-for...
On the Marriage of Chiral Perturbation Theory and Dispersion Relations
Dispersion relations chiral perturbation theory gw PI
2014/12/23
I describe the methodology for the use of dispersion relations in connection with chiral perturbation theory. The conditions for matching the two formalisms are given at $O(E^2)$ and $O(E^4)$. The two...
Virtual Compton Scattering and Generalized Polarizabilities of the Nucleon in Heavy Baryon Chiral Perturbation Theory
Virtual Compton scattering amplitude of nuclear chiral perturbation theory the tree level amplitude
2014/12/23
The spin-independent part of the virtual Compton scattering (VCS) amplitude from the nucleon is calculated within the framework of heavy baryon chiral perturbation theory (HBChPT). The calculation is ...
Improving the Convergence of SU(3) Baryon Chiral Perturbation Theory
Baryon chiral perturbation theory the chiral expansion momentum space physics
2014/12/23
Baryon chiral perturbation theory as conventionally applied using dimensional regularization has a well-known problem with the convergence of the SU(3) chiral expansion. One can reformulate the theory...
Chiral Perturbation Theory and Nucleon Polarizabilities
Compton scattering nuclear structure
2014/12/22
Compton scattering offers in principle an intriguing new window on nucleon structure. Existing experiments and future programs are discussed and the state of theoretical understanding of such measurem...
Virtual Compton scattering off the nucleon in chiral perturbation theory
The Compton scattering amplitude chiral perturbation theory gw amplitude
2014/12/22
We investigate the spin-independent part of the virtual Compton scattering (VCS) amplitude off the nucleon within the framework of chiral perturbation theory. We perform a consistent calculation to th...
Systematic 1/M expansion for spin 3/2 particles in baryon chiral perturbation theory
The theory of relativity pion - nucleon - delta system spin 3/2 resonance nuclear soft power the quality of meson
2014/12/22
Starting from a relativistic formulation of the pion-nucleon-delta system, the most general structure of 1/M corrections for a heavy baryon chiral lagrangian including spin 3/2 resonances is given. Th...
Is SU(3) Chiral Perturbation Theory an Effective Field Theory?
Convergence properties of chiral perturbation theory the calculation relies on the pattern
2014/12/22
We argue that the difficulties associated with the convergence properties of conventional SU(3) chiral perturbation theory can be ameliorated by use of a cutoff, which suppresses the model-dependent s...
Heavy baryon chiral perturbation theory with light deltas
Chiral perturbation theory the meson scale expansion
2014/12/22
We demonstrate how heavy mass methods, previously applied to chiral perturbation theory calculations involving the interactions of nucleons and pions, can be generalized to include interactions with t...
Two-loop analysis of axial vector current propagators in chiral perturbation theory
Isospin axial vector hypercharged breeding chiral perturbation theory meson hypercharged axial vector polarization
2014/12/22
We perform a calculation of the isospin and hypercharge axial vector current propagators [ΔA3μν(q) and ΔA8μν(q)] to two loops in SU(3)×SU(3) chiral perturbation theory. A large number of O(p6) diverge...
Improved treatment of loop diagrams in SU(3) baryon chiral perturbation theory
Baryon chiral perturbation theory the chiral expansion cycle graph the amount of space
2014/12/22
Baryon chiral perturbation theory as conventionally applied has a well-known problem with the SU(3) chiral expansion in that loop diagrams generate very large SU(3) breaking corrections and greatly up...
SU(3) baryon chiral perturbation theory and long distance regularization
Chiral perturbation theory the low energy goldstein boson
2014/12/22
The use of SU(3) chiral perturbation theory in the analysis of low energy meson-baryon interactions is discussed. It is emphasized that short distance effects, arising from propagation of Goldstone bo...