Large-N ℂP N − 1 sigma model on a finite interval
نویسندگان
چکیده
منابع مشابه
3D loop models and the CP(n-1) sigma model.
Many statistical mechanics problems can be framed in terms of random curves; we consider a class of three-dimensional loop models that are prototypes for such ensembles. The models show transitions between phases with infinite loops and short-loop phases. We map them to CP(n-1) sigma models, where n is the loop fugacity. Using Monte Carlo simulations, we find continuous transitions for n=1, 2, ...
متن کاملTopological - Antitopological Fusion and the Large N CP N Model
We discuss the large N limit of the supersymmetric CP N models as an illustration of Cecotti and Vafa's tt * formalism. In this limit the 'tt * equation' becomes the long wavelength limit of the 2D Toda lattice, an equation first studied in the context of self-dual gravity. We show how simple finite temperature and large N techniques determine the relevant solution, and verify analytically that...
متن کاملLarge N Limit of Higher Derivative Extended CP ( N ) Model
We construct a fourth-order derivative CP(N) model in 1 + 1 dimensions by incorporating the topological charge density squared term into the Lagrangian. We quantize the theory by reformulating with auxiliary fields and then performing the path integral explicitly. We discuss the renormalizability in the large N limit and relevance of the effective action with axion physics. PACS Number(s): 11.1...
متن کاملInstanton Equations for the Supersymmetric CP N − 1 Sigma Model on Non ( anti ) commutative Superspace
Studies of strings with non-trivial classical values of its field components have brought about new development in quantum field theories. If one allows some of the field components to posses background values on D-branes, one obtains new classes of quantum field theories in the low energy limits of string theory. They have novel features due to the non(anti)commutativity (NC) properties of spa...
متن کامل20 08 Large N transition in the 2 D SU ( N ) xSU ( N ) nonlinear sigma model
We consider the characteristic polynomial associated with the smoothed two point function in two dimensional large N principal chiral model. We numerically show that it undergoes a transition at a critical distance of the order of the correlation length. The transition is in the same universality class as two dimensional large N QCD.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2016
ISSN: 1029-8479
DOI: 10.1007/jhep10(2016)073