scholarly journals A CANDIDATE FOR EXACT CONTINUUM DUAL THEORY FOR SCALAR QED3

1993 ◽  
Vol 08 (14) ◽  
pp. 1343-1355 ◽  
Author(s):  
A. KOVNER ◽  
P. KURZEPA ◽  
B. ROSENSTEIN
Keyword(s):  
Fixed Point ◽  
Higgs Model ◽  
Magnetic Vortex ◽  
Dual Theory ◽  
Scalar Theory ◽  
Massive Vector ◽  
Vortex Model ◽  
Current Interaction ◽  
Vector Theory ◽  
A Current

We discuss a possible exact equivalence of the Abelian Higgs model and a scalar theory of a magnetic vortex field in 2 + 1 dimensions. The vortex model has a current-current interaction and can be viewed as a strong coupling limit of a massive vector theory. The fixed point structure of the theory is discussed and mapped into fixed points of the Higgs model.

scholarly journals RENORMALIZATION GROUP FLOW EQUATIONS FOR THE SCALAR O(N) THEORY

2001 ◽  
Vol 16 (11) ◽  
pp. 2119-2124 ◽  
Author(s):  
B.-J. SCHAEFER ◽  
O. BOHR ◽  
J. WAMBACH
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Three Dimensions ◽  
Leading Order ◽  
Renormalization Group Flow ◽  
Derivative Expansion ◽  
Scalar Theory ◽  
Flow Equations ◽  
Self Consistent ◽  
Group Flow

Self-consistent new renormalization group flow equations for an O(N)-symmetric scalar theory are approximated in next-to-leading order of the derivative expansion. The Wilson-Fisher fixed point in three dimensions is analyzed in detail and various critical exponents are calculated.

XXXVIII.—Observations with a Current Meter in Loch Ness

1909 ◽  
Vol 29 ◽  
pp. 619-647 ◽  
Author(s):  
E. M. Wedderburn ◽  
W. Watson
Keyword(s):  
Experimental Investigation ◽  
Fixed Point ◽  
Great Lakes ◽  
Large Lake ◽  
Deep Lakes ◽  
Small Lake ◽  
Stormy Weather ◽  
Set Up ◽  
A Current ◽  
Made In

One of the authors having made an experimental investigation on the currents produced in a trough of water by a blast of air driven along the surface of the water, it was desired to test the correctness of his deductions by actual observations in a large lake. Loch Ness was chosen on account of its length and uniformity of basin, as it was thought that the length and narrowness of the loch would lead to clearly defined currents being set up in the lake. The sequel showed, as in the case of observations on seiches, that it would have been better to confine attention to a smaller lake, for a twofold reason, (1) because in a large lake the difficulties of observations are much greater than in a small lake during stormy weather, and in very deep lakes the difficulties in the way of obtaining a fixed point from which to use the current meter are formidable, and (2) because it would seem from a few observations made in Loch Garry (Ness Basin) that currents are more defined and more regular in small than in great lakes.

QUANTUM MAGNETIC VORTICES AT FINITE TEMPERATURE IN (3 + 1)-D

2000 ◽  
Vol 15 (11n12) ◽  
pp. 731-735
Author(s):  
E. C. MARINO ◽  
D. G. G. SASAKI
Keyword(s):  
Correlation Function ◽  
Correlation Functions ◽  
Large Distance ◽  
Finite Temperature ◽  
Higgs Model ◽  
Magnetic Vortex ◽  
Zero Temperature ◽  
Magnetic Vortices ◽  
Vortex Lines ◽  
Distance Behavior

We study the effect of a finite temperature on the correlation function of quantum magnetic vortex lines in the framework of the (3 + 1)-dimensional Abelian Higgs model. The vortex energy is inferred from the large distance behavior of these correlation functions. For large straight vortices of length L, we obtain that the energy is proportional to TL2 differently from the zero temperature result which is proportional to L. The case of closed strings is also analyzed. For T = 0, we evaluate the correlation function and energy of a large ring. Finite closed vortices do not exist as genuine excitations for any temperature.

Nonleptonic decays of hyperons in a current-current interaction

1972 ◽  
Vol 11 (4) ◽  
pp. 817-823 ◽  
Author(s):  
A. Esteve ◽  
J. Gutierrez ◽  
A. Tiemblo
Keyword(s):  
Current Interaction ◽  
Nonleptonic Decays ◽  
A Current

scholarly journals HOLOGRAPHIC SUPERCONDUCTOR FOR A LIFSHITZ FIXED POINT

2011 ◽  
Vol 26 (26) ◽  
pp. 4617-4631 ◽  
Author(s):  
SANG-JIN SIN ◽  
SHAN-SHAN XU ◽  
YANG ZHOU
Keyword(s):  
Fixed Point ◽  
Recent Work ◽  
Finite Temperature ◽  
Coupled System ◽  
Temperature Limit ◽  
Critical Value ◽  
Higgs Model ◽  
Zero Temperature ◽  
Holographic Superconductor ◽  
Strongly Coupled

We consider the gravity dual of strongly coupled system at a Lifshitz-fixed point and finite temperature, which was constructed in a recent work arXiv:0909.0263. We construct an Abelian–Higgs model in that background and calculate condensation and conductivity using holographic techniques. We find that condensation happens and DC conductivity blows up when temperature turns below a critical value. We also study the zero temperature limit of strongly coupled system at the Lifshitz-fixed point.

scholarly journals Abelian Higgs model at four loops, fixed-point collision, and deconfined criticality

2019 ◽  
Vol 100 (13) ◽  
Author(s):  
Bernhard Ihrig ◽  
Nikolai Zerf ◽  
Peter Marquard ◽  
Igor F. Herbut ◽  
Michael M. Scherer
Keyword(s):  
Fixed Point ◽  
Higgs Model ◽  
Abelian Higgs Model

The Weak Interactions

2021 ◽  
pp. 348-387
Author(s):  
J. Iliopoulos ◽  
T.N. Tomaras
Keyword(s):  
Weak Interactions ◽  
Vector Boson ◽  
Goldstone Boson ◽  
Vector Current ◽  
Axial Current ◽  
Current Interaction ◽  
Conserved Vector Current ◽  
Intermediate Vector ◽  
Pseudo Goldstone Boson ◽  
A Current

We present the phenomenology of the weak interactions in a historical perspective, from Fermi’s four-fermion theory to the V−A current×current interaction. The experiments of C.S. Wu, which established parity violation, and M. Goldhaber, which measured the neutrino helicity, are described. We study in turn the leptonic, semi-leptonic and non-leptonic weak interactions. We introduce the concept of the conserved vector current and the partially conserved axial current and show that the latter is the result of spontaneously broken chiral symmetry with the pion the corresponding pseudo-Goldstone boson. We study Gell–Mann’s current algebra and derive the Adler–Weisberger relation. Strangeness changing weak interactions and the Cabibbo theory are described. We present a phenomenological analysis of CP-violation in the neutral kaon system and we end with the intermediate vector boson hypothesis.

The Current-Current Model of the Weak Interaction

2019 ◽  
pp. 233-250
Author(s):  
Michael E. Peskin
Keyword(s):  
Weak Interaction ◽  
Current Model ◽  
High Energy ◽  
Charge Conjugation ◽  
Pion Decay ◽  
High Energy Neutrino ◽  
Neutrino Scattering ◽  
Current Interaction ◽  
A Current ◽  
Conjugation Invariance

This chapter discusses the representation of the weak interaction as a current-current interaction that violates parity and charge conjugation invariance. It describes the experiments that demonstrate that this violation is maximal. The resulting theory is called the V-A theory of the weak interaction. The chapter works out the predictions of the V-A theory for muon and pion decay and high-energy neutrino scattering and shows the comparison to experiment.

Benchmark Study of Numerical Approaches for Wave-Current Interaction Problem of Offshore Floaters

2016 ◽  
Author(s):  
Zhiyuan Pan ◽  
Torgeir Vada ◽  
Styrk Finne ◽  
Arne Nestegård ◽  
Jan Roger Hoff ◽  
...  
Keyword(s):  
Free Surface Elevation ◽  
Benchmark Study ◽  
Validity Range ◽  
Current Interaction ◽  
Numerical Performance ◽  
Wave Drift Forces ◽  
Interaction Problem ◽  
A Current ◽  
Drift Forces ◽  
Numerical Approaches

The influence from a current on the relative motions and wave drift forces for moored floater can be quite significant. In this paper, a benchmark study is carried out for three programs, MULDIF, WADAM and WASIM, with the focus on their capability on handling the wave-current interaction problem. A semi-submersible model Troll B and a tanker model KVLCC2 are used for this study. The motions, free surface elevation at specified off-body points and mean drift forces are calculated by the programs in different current or forward speed conditions. Analysis results are compared and discussed, with the aim to evaluate the numerical performance of each programs and their validity range in terms of current speed.

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