The Unreasonable effectiveness of effective string theory: The case of the 3D SU(2) Higgs model

  title={The Unreasonable effectiveness of effective string theory: The case of the 3D SU(2) Higgs model},
  author={Claudio Bonati and Michele Caselle and Silvia Morlacchi},
  journal={Physical Review D},
We study string breaking in the three dimensional SU(2) Higgs model, using values of the gauge coupling for which the confinement-like and Higgs-like regions of the phase diagram are separated just by a smooth crossover. We show that even in the presence of string breaking, the confining part of the interquark potential is well described by the Effective String Theory and that also the fine details of the effective string, like the higher order terms of the Nambu-Goto action or the boundary… Expand
2 Citations

Figures and Tables from this paper

Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
We present a study of the effective string that describes the infrared dynamics of SU(2) Yang-Mills theory in three dimensions. By combining high-precision lattice simulation results forExpand
Highly excited pure gauge SU(3) flux tubes
Flux tube spectra are expected to have full towers of levels due to the quantization of the string vibrations. We study a spectrum of flux tubes with static quark and antiquark sources with pureExpand


Static quark potential and effective string corrections in the (2+1)-d SU(2) Yang-Mills theory
We report on a very accurate measurement of the static quark potential in SU(2) Yang-Mills theory in (2+1) dimensions in order to study the corrections to the linear behaviour. We perform numericalExpand
Effective String Description of the Confining Flux Tube at Finite Temperature
In this review, after a general introduction to the Effective String Theory (EST) description of confinement in pure gauge theories, we discuss the behaviour of EST as the temperature is increased.Expand
String excitation energies in SU(N) gauge theories beyond the free-string approximation
In the presence of a static quark--antiquark pair, the spectrum of the low-lying states in SU($N$) gauge theories is discrete and likely to be described, at large quark separations $r$, by anExpand
A precise calculation of the fundamental string tension in SU (N) gauge theories in 2 + 1 dimensions
Abstract We use lattice techniques to calculate the continuum string tensions of SU ( N ) gauge theories in 2 + 1 dimensions. We attempt to control all systematic errors at a level that allows us toExpand
The partition function of interfaces from the Nambu-Goto effective string theory
We consider the Nambu-Goto bosonic string model as a description of the physics of interfaces. By using the standard covariant quantization of the bosonic string, we derive an exact expression forExpand
Spectrum of the open QCD flux tube and its effective string description
  • B. B. Brandt
  • Physics
  • Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)
  • 2019
I perform a high precision measurement of the static quark-antiquark potential in three-dimensional ${\rm SU}(N)$ gauge theory with $N=2$ to 6. The results are compared to the effective string theoryExpand
Phase diagram of the lattice SU(2) Higgs model
Abstract We perform a detailed study of the phase diagram of the lattice Higgs SU ( 2 ) model with fixed Higgs field length. Consistently with previsions based on the Fradkin–Shenker theorem we findExpand
String breaking in QCD: dual superconductor vs. stochastic vacuum model
Effects of dispersion of the chromoelectric field of the flux tube on the string-breaking distance are studied. The leading-order correction is shown to slightly diminish the result following fromExpand
On the Mass Spectrum of the SU(2) Higgs Model in 2+1 Dimensions
We calculate the masses of the low-lying states with quantum numbers $J^{PC}=0^{++},1^{--}$ in the Higgs and confinement regions of the three-dimensional SU(2) Higgs model, which plays an importantExpand
We derive a well-defined, reparametrization invariant expression for the next to leading term in the small ħ expansion of the euclidean loop Green functional ψ(C). To this order in ħ, we then verifyExpand