Wilson Fermions at finite temperature

Michael Creutz

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Wilson Fermions at finite temperature

Michael Creutz

High Energy Physics - Lattice · Submitted 6 Aug 1996

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Numerous phases are expected, including the conventional confinement and deconfinement phases, as well as an Aoki phase with spontaneous breaking of flavor and parity and a large hopping phase corresponding to negative quark masses.

how it is stated · hedged possibility 0.78 read the record →

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The compiled record

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.05 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

I conjecture on the phase structure expected for lattice gauge theory with two flavors of Wilson fermions, concentrating on large values of the hopping parameter. Numerous phases are expected, including the conventional confinement and deconfinement phases, as well as an Aoki phase with spontaneous breaking of flavor and parity and a large hopping phase corresponding to negative quark masses.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	I conjecture on the phase structure expected for lattice gauge theory with two flavors of Wilson fermions, concentrating on large values of the hopping parameter.	contribution 0.97	0.35	0.12	speculative 1.00
s1	Numerous phases are expected, including the conventional confinement and deconfinement phases, as well as an Aoki phase with spontaneous breaking of flavor and parity and a large hopping phase corresponding to negative quark masses.	result 0.52	0.08	0.45	hedged possibility 0.78

What kind of paper the classifier reports this is: position or commentary 0.89 · evidence from argument 1.00.

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arXiv listing abstract v2

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

I conjecture on the phase structure expected for lattice gauge theory with two flavors of Wilson fermions, concentrating on large values of the hopping parameter. Numerous phases are expected, including the conventional confinement and deconfinement phases, as well as an Aoki phase with spontaneous breaking of flavor and parity and a large hopping phase corresponding to negative quark masses.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Dynamical Twisted Mass Fermions with Light Quarks
hep-lat 2007-01 conditional novelty 6.0 of 10

Dynamical twisted-mass lattice QCD at maximal twist reaches 300 MeV pions and fits NLO chiral perturbation theory to extract F = 121.3(7) MeV, l3 = 3.65(12) and l4 = 4.52(6), statistical errors only.
Spontaneous Flavor and Parity Breaking with Wilson Fermions
hep-lat 1998-04 conditional novelty 6.0 of 10

A chiral-Lagrangian analysis with lattice-spacing corrections shows the Wilson-fermion phase diagram has exactly two options, an Aoki phase of width scaling as the cube of the lattice spacing or no breaking at all, an...
Twisted mass lattice QCD
hep-lat 2007-07 accept novelty 3.0 of 10

Wilson twisted mass QCD at maximal twist removes order-a lattice artifacts from parity-even observables with only the critical mass tuned, at the price of order-a-squared parity and isospin breaking and a nontrivial c...

How the literature uses it

12 arXiv papers cite this in 16 sentences

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Papers citing it · 11 sentences without a confident label

Builds on it 1 paper

This discussion adds the possible twisted mass term (defined later) to the exposition in [ref] .

Effective potentials, thermodynamics, and twisted mass quarks · Lattice versus continuum parameters · 1.00

Cites it as background 4 papers

The existence of a phase with parity and flavor symmetry breaking was conjectured for this model by Aoki in the middle 80's [ref] , and confirmed later on [ref] .

Phase structure of a generalized Nambu Jona-Lasinio model with Wilson fermions in the mean field or large $N$-expansion · Introduction · 0.93
The central branch with the condition $M_W=m+4r=0$ in the Wilson fermion corresponds to the central cusp in the conjectured parity phase diagram (Aoki phase diagram [ref] ) as shown in Fig. [ref] and this parameter set is expected to be within the parity broken phase at least in strong and middle gauge coupling regions.

Varieties and properties of central-branch Wilson fermions · Symmetry breaking in strong-coupling QCD · 0.83
References [ref] are an incomplete list of the work done along these years.

Elucidating the Vacuum Structure of the Aoki Phase · Introduction · 1.00

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