scholarly journals Center-Vortex Loops with One Self-Intersection

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Julian Moosmann ◽  
Ralf Hofmann
Keyword(s):  
Renormalization Group ◽  
Effective Action ◽  
Noise Level ◽  
Coarse Graining ◽  
Renormalization Group Flow ◽  
Yang Mills ◽  
Vortex Loops ◽  
Center Vortex ◽  
Group Flow ◽  
Ordered State

We investigate the 2D behavior of one-fold self-intersecting, topologically stabilized center-vortex loops in the confining phase of an SU(2) Yang-Mills theory. This coarse-graining is described by curve-shrinking evolution of center-vortex loops immersed in a flat 2D plane driving the renormalization-group flow of an effective “action.” We observe that the system evolves into a highly ordered state at finite noise level, and we speculate that this feature is connected with 2D planar high Tc superconductivity in FeAs systems.

scholarly journals Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance

1994 ◽  
Vol 421 (2) ◽  
pp. 429-455 ◽  
Author(s):  
M. Bonini ◽  
M. D'Attanasio ◽  
G. Marchesini
Keyword(s):  
Renormalization Group ◽  
Gauge Invariance ◽  
Renormalization Group Flow ◽  
Yang Mills ◽  
Group Flow

scholarly journals On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Breno L. Giacchini ◽  
Tibério de Paula Netto ◽  
Ilya L. Shapiro
Keyword(s):  
Renormalization Group ◽  
Quantum Gravity ◽  
Effective Action ◽  
Planck Scale ◽  
Renormalization Group Flow ◽  
Higher Derivative ◽  
Gauge Fixing ◽  
Total Action ◽  
The One ◽  
Group Flow

Abstract The effective action in quantum general relativity is strongly dependent on the gauge-fixing and parametrization of the quantum metric. As a consequence, in the effective approach to quantum gravity, there is no possibility to introduce the renormalization-group framework in a consistent way. On the other hand, the version of effective action proposed by Vilkovisky and DeWitt does not depend on the gauge-fixing and parametrization off- shell, opening the way to explore the running of the cosmological and Newton constants as well as the coefficients of the higher-derivative terms of the total action. We argue that in the effective framework the one-loop beta functions for the zero-, two- and four-derivative terms can be regarded as exact, that means, free from corrections coming from the higher loops. In this perspective, the running describes the renormalization group flow between the present-day Hubble scale in the IR and the Planck scale in the UV.

scholarly journals RENORMALIZATION GROUP FLOWS IN THE DEFORMED ADS/CFT CORRESPONDENCE

2001 ◽  
Vol 16 (11) ◽  
pp. 2027-2033
Author(s):  
NICK EVANS
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Moduli Space ◽  
Radial Direction ◽  
Renormalization Group Flow ◽  
Yang Mills ◽  
Infra Red ◽  
Renormalization Group Flows ◽  
Group Flow

In the AdS/CFT correspondence motion in the radial direction of the AdS space is identified with renormalization group flow in the field theory. For the N=4 Yang-Mills theory this motion is trivial. More interesting examples of renormalization group flow occur when the N=4 theory is deformed. Aspects of the flows are discussed for the N=4 theory on its moduli space, and deformed to N=2 in the infra-red within the context of 5d SUGRA. 10d lifts and brane probing are crucial tools for linking the spacetime backgrounds to the dual field theory.

scholarly journals Evolving Center-Vortex Loops

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Julian Moosmann ◽  
Ralf Hofmann
Keyword(s):  
Center Of Mass ◽  
Free Particle ◽  
Mean Field ◽  
Coarse Graining ◽  
Yang Mills ◽  
Vortex Loops ◽  
Center Vortex ◽  
Planar Curve ◽  
Nonlocal Nature ◽  
Mass Position

We consider coarse-graining applied to nonselfintersecting planar centervortex loops as they emerge in the confining phase of an SU(2) Yang-Mills theory. Well-established properties of planar curve-shrinking predict that a suitably defined, geometric effective action exhibits (mean-field) critical behavior when the conformal limit of circular points is reached. This suggests the existence of an asymptotic mass gap. We demonstrate that the initially sharp mean center-of-mass position in a given ensemble of curves develops a variance under the flow as is the case for a position eigenstate in free-particle quantum mechanics under unitary time evolution. A possible application of these concepts is an approach to high- superconductivity based (a) on the nonlocal nature of the electron (1 fold selfintersecting center-vortex loop) and (b) on planar curve-shrinking flow representing the decrease in thermal noise in a cooling cuprate.

scholarly journals Unimodular quantum gravity: steps beyond perturbation theory

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Gustavo P. de Brito ◽  
Antonio D. Pereira
Keyword(s):  
Fixed Point ◽  
Perturbation Theory ◽  
Renormalization Group ◽  
Quantum Gravity ◽  
Symmetry Breaking ◽  
Coarse Graining ◽  
Renormalization Group Flow ◽  
Anomalous Dimensions ◽  
Group Flow

Abstract The renormalization group flow of unimodular quantum gravity is computed by taking into account the graviton and Faddeev-Popov ghosts anomalous dimensions. In this setting, a ultraviolet attractive fixed point is found. Symmetry-breaking terms induced by the coarse-graining procedure are introduced and their impact on the flow is analyzed. A discussion on the equivalence of unimodular quantum gravity and standard full diffeomorphism invariant theories is provided beyond perturbation theory.

scholarly journals SCALAR-QED β-FUNCTIONS NEAR PLANCK'S SCALE

1998 ◽  
Vol 13 (31) ◽  
pp. 5425-5441 ◽  
Author(s):  
GENTIL O. PIRES
Keyword(s):  
Renormalization Group ◽  
Effective Action ◽  
Coupling Parameter ◽  
Analytic Solutions ◽  
Einstein Gravity ◽  
Scalar Coupling ◽  
Threshold Effects ◽  
Renormalization Group Flow ◽  
Flow Equations ◽  
Group Flow

The Renormalization Group Flow Equations of the Scalar-QED model near Planck's scale are computed within the framework of the average effective action. Exact Flow Equations, corrected by Einstein Gravity, for the running self-interacting scalar coupling parameter and for the running v.e.v. of ϕ*ϕ, are computed taking into account threshold effects. Analytic solutions are given in the infrared and ultraviolet limits.

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