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We perform a global renormalization group study of O(N) symmetric Wess-Zumino theories and their phases in three euclidean dimensions. At infinite N the theory is solved exactly. The phases and phase transitions are worked out for finite…

高能物理 - 理论 · 物理学 2013-05-30 Marianne Heilmann , Daniel F. Litim , Franziska Synatschke-Czerwonka , Andreas Wipf

We study how universality classes of O(N)-symmetric models depend continuously on the dimension d and the number of field components N. We observe, from a renormalization group perspective, how the implications of the…

高能物理 - 理论 · 物理学 2015-03-18 A. Codello , G. D'Odorico

We write new functional renormalization group equations for a scalar nonminimally coupled to gravity. Thanks to the choice of the parametrization and of the gauge fixing they are simpler than older equations and avoid some of the…

高能物理 - 理论 · 物理学 2015-05-20 Roberto Percacci , Gian Paolo Vacca

Drawing on analogies with the commutative case, the Wilsonian picture of renormalization is developed for noncommutative scalar field theory. The dimensionful noncommutativity parameter, theta, induces several new features. Fixed-points are…

高能物理 - 理论 · 物理学 2009-08-03 Razvan Gurau , Oliver J. Rosten

As a first application of our renormalisation group approach to non-local matrix models [hep-th/0305066], we prove (super-)renormalisability of Euclidean two-dimensional noncommutative \phi^4-theory. It is widely believed that this model is…

高能物理 - 理论 · 物理学 2016-09-06 Harald Grosse , Raimar Wulkenhaar

Non-Fermi liquids in $d>2$ remain poorly understood, particularly when relevant perturbations destabilize them. In one spatial dimension, chirally stabilized fixed points provide a rare class of analytically tractable non-Fermi-liquid…

强关联电子 · 物理学 2026-03-26 Aleksandar Ljepoja , L. C. R. Wijewardhana , Yashar Komijani

We introduce a more general set of kinematic renormalization schemes than the original momentum (MOM) subtraction schemes of Celmaster and Gonsalves. These new schemes will depend on a parameter $\omega$ which tags the external momentum of…

高能物理 - 理论 · 物理学 2018-04-25 J. A. Gracey , R. M. Simms

We study the non-perturbative renormalization group flow of the nonlinear O(N) sigma model in two and three spacetime dimensions using a scheme that combines an effective local Hybrid Monte Carlo update routine, blockspin transformations…

高能物理 - 格点 · 物理学 2015-06-18 Björn H. Wellegehausen , Daniel Körner , Andreas Wipf

As in two and four dimensions, supersymmetric conformal field theories in three dimensions can have exactly marginal operators. These are illustrated in a number of examples with N=4 and N=2 supersymmetry. The N=2 theory of three chiral…

高能物理 - 理论 · 物理学 2007-05-23 Matthew J. Strassler

Using an Environmentally Friendly Renormalization Group we derive an ab initio universal scaling form for the equation of state for the O(N) model, y=f(x), that exhibits all required analyticity properties in the limits $x\to 0$,…

统计力学 · 物理学 2009-11-13 Denjoe O'Connor , J. A. Santiago , C. R. Stephens

We develop a systematic perturbative expansion and compute the one-loop two-points, three-points and four-points correlation functions in a non-commutative version of the U(N) Wess-Zumino-Witten model in different regimes of the…

高能物理 - 理论 · 物理学 2016-08-15 Adrián R. Lugo

Apparently convergent contributions of resummed perturbative series at the next-to-leading order of the 1/N expansion in the O(N) model are reanalyzed in terms of renormalizability. Compared to our earlier article [G. Fejos et al., Phys.…

高能物理 - 唯象学 · 物理学 2015-06-19 G. Fejos , A. Patkos , Zs. Szep

We study the renormalization group flow of the O(N) non-linear sigma model in arbitrary dimensions. The effective action of the model is truncated to fourth order in the derivative expansion and the flow is obtained by combining the…

高能物理 - 理论 · 物理学 2013-05-16 Raphael Flore , Andreas Wipf , Omar Zanusso

A non-perturbative Renormalization Group approach is used to calculate scaling functions for an O(4) model in d=3 dimensions in the presence of an external symmetry-breaking field. These scaling functions are important for the analysis of…

高能物理 - 理论 · 物理学 2008-11-26 Jens Braun , Bertram Klein

Using the renormalization group techniques it was previously shown that the perturbative effective potential in the $\mathcal{O}(N)$ symmetric $\phi^4$ theory, massless scalar electrodynamics as well as in the conformal limit of the…

高能物理 - 理论 · 物理学 2013-07-02 T. Hanif , N. Ishtiaque

We find a class of fixed point theory for 2- and 3-dimensional non-linear sigma models using Wilsonian renormalization group (WRG) approach. In 2-dimensional case, the fixed point theory is equivalent to the Witten's semi-infinite cigar…

高能物理 - 理论 · 物理学 2007-05-23 Etsuko Itou

Conventional ordering transitions, described by the Landau paradigm, are characterized by the symmetries broken at the critical point. Within the constrained manifold occurring at low temperatures in certain frustrated systems,…

统计力学 · 物理学 2014-01-14 Stephen Powell

We introduce a method, based on an exact calculation of the effective action at large N, to bridge the gap between mean field theory and renormalization in complex systems. We apply it to a d-dimensional manifold in a random potential for…

凝聚态物理 · 物理学 2009-11-07 Pierre Le Doussal , Kay Joerg Wiese

The Wilsonian renormalization group implies that an arbitrary four dimensional field theory with an ultraviolet cutoff is equivalent to a theory which is renormalizable by power counting at energy scales much below the cutoff. This applies…

高能物理 - 理论 · 物理学 2009-10-31 Hidenori Sonoda

We use the method of the exact renormalization group to study the renormalization group flows of an O(N) invariant Yukawa model in three dimensional Euclidean space consisting of one real scalar and N real spinor fields. We obtain a phase…

高能物理 - 理论 · 物理学 2011-08-03 Hidenori Sonoda