Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Hamiltonian methods for nonlinear sigma models
Date
1989-12
Author
Pak, Namık Kemal
Percacci, Roberto
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
173
views
0
downloads
Cite This
Nonlinear sigma models are studied in n space dimensions with values in a coset space G/H as infinite dimensional Hamiltonian systems. An ‘‘intrinsic’’ formulation is discussed in terms of coordinates on G/H, an ‘‘embedded’’ formulation in terms of fields satisfying a constraint and a ‘‘lifted’’ formulation in terms of fields having values in G/H̄, where H̄ is a normal subgroup of H. The coupling of the sigma model to Yang–Mills fields with structure group G is then considered, and it is shown that this system is equivalent to a massive Yang–Mills theory
URI
https://hdl.handle.net/11511/51740
Journal
Journal of Mathematical Physics
DOI
https://doi.org/10.1063/1.528483
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
HAMILTONIAN QUANTIZATION OF THE CP1 SIGMA MODEL IN 1+2 DIMENSIONS
Pak, Namık Kemal (1992-09-01)
CP1 sigma model with Hopf interaction in 1 + 2 dimensions is quantized canonically using a lifted formulation. In this formulation the Hopf invariant is still a local functional of the fields. However, the constraint structure is as simple as that of a U(1) gauge theory without any nonlinearity constraints. As a by-product, the theta-dependent fractional spin is computed in this local setting.
Magnetic properties of multiband U=infinity Hubbard model on anisotropic triangular and rectangular lattice strips
CHERANOVSKII, VO; Esentürk, Okan; PAMUK, HO (1998-11-01)
We study the dependence of the ground state spin of a multiband Hubbard model with infinite electron repulsion on anisotropic triangular and rectangular lattice strips on the model parameters. Considering the results of numerical calculations for the exact spectra of finite triangular lattice strips at different values of hopping integrals, we show the existence of a type of magnetic transitions with the jump of the ground state spin between minimal and maximal values. This transition is found only for spec...
Magnetic moment of the X-Q state with J(PC)=1(++/-) in light cone QCD sumrules
Agamaliev, A. K.; Alıyev, Tahmasıb; Savcı, Mustafa (2017-02-21)
The magnetic moments of the recently observed resonance X-b(5568) by D0 Collaboration and its partner with charm quark are calculated in the framework of the light cone QCD sum rules, by assuming that these resonances are represented as tetraquark states with quantum numbers J(PC) = 1(vertical bar +/-). The magnetic moment can play a critical role in the determination of the quantum numbers, as well as give useful information about the inner structure of these mesons.
Hamiltonian for a particle in a magnetic field on a curved surface in orthogonal curvilinear coordinates
Shikakhwa, M. S.; Chair, N. (2016-08-19)
The Schrodinger Hamiltonian of a spin-less particle as well as the Pauli Hamiltonian with spin-orbit coupling included of a spin one-half particle in electromagnetic fields that are confined to a curved surface embedded in a three-dimensional space spanned by a general Orthogonal Curvilinear Coordinate are constructed. A new approach, based on the physical argument that upon squeezing the particle to the surface by a potential, then it is the physical gauge-covariant kinematical momentum operator (velocity ...
Pseudospin and spin symmetry in the Dirac equation with Woods-Saxon potential and tensor potential
AYDOĞDU, OKTAY; Sever, Ramazan (2010-01-01)
The Dirac equation is solved approximately for the Woods-Saxon potential and a tensor potential with the arbitrary spin-orbit coupling quantum number kappa under pseudospin and spin symmetry. The energy eigenvalues and the Dirac spinors are obtained in terms of hypergeometric functions. The energy eigenvalues are calculated numerically.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
N. K. Pak and R. Percacci, “Hamiltonian methods for nonlinear sigma models,”
Journal of Mathematical Physics
, pp. 2951–2962, 1989, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51740.