scholarly journals Effective field theory of the zero-temperature triangular-lattice antiferromagnet: A Monte Carlo study

2000 ◽  
Vol 61 (6) ◽  
pp. 6426-6433 ◽  
Author(s):  
Hui Yin ◽  
Bulbul Chakraborty ◽  
Nicholas Gross
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Effective Field Theory ◽  
Triangular Lattice ◽  
Monte Carlo Study ◽  
Effective Field ◽  
Zero Temperature ◽  
Triangular Lattice Antiferromagnet

scholarly journals Impurity lattice Monte Carlo for hypernuclei

2020 ◽  
Vol 56 (10) ◽  
Author(s):  
Dillon Frame ◽  
Timo A. Lähde ◽  
Dean Lee ◽  
Ulf-G. Meißner
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Effective Field Theory ◽  
Computational Effort ◽  
Effective Field ◽  
Binding Energies ◽  
Chiral Effective Field Theory ◽  
Lattice Monte Carlo ◽  
Nucleon Interactions

AbstractWe consider the problem of including $$\varLambda $$ Λ hyperons into the ab initio framework of nuclear lattice effective field theory. In order to avoid large sign oscillations in Monte Carlo simulations, we make use of the fact that the number of hyperons is typically small compared to the number of nucleons in the hypernuclei of interest. This allows us to use the impurity lattice Monte Carlo method, where the minority species of fermions in the full nuclear Hamiltonian is integrated out and treated as a worldline in Euclidean projection time. The majority fermions (nucleons) are treated as explicit degrees of freedom, with their mutual interactions described by auxiliary fields. This is the first application of the impurity lattice Monte Carlo method to systems where the majority particles are interacting. Here, we show how the impurity Monte Carlo method can be applied to compute the binding energies of the light hypernuclei. In this exploratory work we use spin-independent nucleon–nucleon and hyperon–nucleon interactions to test the computational power of the method. We find that the computational effort scales approximately linearly in the number of nucleons. The results are very promising for future studies of larger hypernuclear systems using chiral effective field theory and realistic hyperon–nucleon interactions, as well as applications to other quantum many-body systems.

scholarly journals A Monte Carlo global analysis of the Standard Model Effective Field Theory: the top quark sector

2019 ◽  
Vol 2019 (4) ◽  
Author(s):  
Nathan P. Hartland ◽  
Fabio Maltoni ◽  
Emanuele R. Nocera ◽  
Juan Rojo ◽  
Emma Slade ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Standard Model ◽  
Effective Field Theory ◽  
Top Quark ◽  
Global Analysis ◽  
Effective Field ◽  
Quark Sector ◽  
The Standard Model

scholarly journals Nodal Liquid Theory of the Pseudo-Gap Phase of High-Tc Superconductors

1998 ◽  
Vol 12 (10) ◽  
pp. 1033-1068 ◽  
Author(s):  
Leon Balents ◽  
Matthew P. A. Fisher ◽  
Chetan Nayak
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Landau Theory ◽  
Quantum Phase Transitions ◽  
High Temperature Superconductors ◽  
Effective Field ◽  
Charge Ordering ◽  
Quantum Phase ◽  
Zero Temperature ◽  
D Wave

We introduce and study the nodal liquid, a novel zero-temperature quantum phase obtained by quantum-disordering a d-wave superconductor. It has numerous remarkable properties which lead us to suggest it as an explanation of the pseudo-gap state in underdoped high-temperature superconductors. In the absence of impurities, these include power-law magnetic order, a T-linear spin susceptibility, nontrivial thermal conductivity, and two- and one-particle charge gaps, the latter evidenced, e.g. in transport and electron photoemission (which exhibits pronounced fourfold anisotropy inherited from the d-wave quasiparticles). We use a (2+1)-dimensional duality transformation to derive an effective field theory for this phase. The theory is comprised of gapless neutral Dirac particles living at the former d-wave nodes, weakly coupled to the fluctuating gauge field of a dual Ginzburg–Landau theory. The nodal liquid interpolates naturally between the d-wave superconductor and the insulating antiferromagnet, and our effective field theory is powerful enough to permit a detailed analysis of a panoply of interesting phenomena, including charge ordering, antiferromagnetism, and d-wave superconductivity. We also discuss the zero-temperature quantum phase transitions which separate the nodal liquid from various ordered phases.

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