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Record W3106193768

1 One Loop Renormalization of Fermilab Fermions

2002· article· en· W3106193768 on OpenAlexaff
M. Nobes, Howard Trottiera

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldEngineering
TopicSuperconducting Materials and Applications
Canadian institutionsSimon Fraser University
Fundersnot available
KeywordsFermilabFermionRenormalizationPhysicsParticle physicsLoop (graph theory)Dimension (graph theory)Perturbation theory (quantum mechanics)Mathematical physicsQuantum electrodynamicsMathematicsTheoretical physicsPure mathematicsCombinatorics
DOInot available

Abstract

fetched live from OpenAlex

We discuss the current status of our automatic perturbation theory program as applied to Fermilab Fermions. We give an overview of our methods, a discussion of tree level matching, and one loop results for the coefficients of the higher dimension kinetic operators. A dominant source of error in current lattice calculations is the errors due to finite lattice spacing a. One way to reduce these errors is to use improved actions. The general structure for an improved action is L = L0 + cn(g0, m0)Ln (1) n=0 The series here is an expansion in the dimensionality of the various operators. Each of these terms comes with a new coupling constant cn. In order to use this type of action we must do two things, we must truncate the series at some specified order in n and we must calculate the new couplings somehow. Fixing the new couplings can be done in a number of ways, for example, the first step could be to make an expansion in powers of m0 for light quarks, or powers of 1/m0 for heavy quarks. The remaining dependence on g0 can be determined perturbativly. It is desirable to have a method of improvement which does not rely on light or heavy quark mass expansions. One such approach is the Fermilab approach [1] which orders the expansion operators by dimension only (this amounts to a small momentum expansion). The unimproved fermilab action consists of dimension two and four operators, S0 = dx ¯ { 1 + γ0 ψ m0 + + ζγ · D − rsζ

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.002
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.010
Threshold uncertainty score0.033

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.002
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0020.001
Science and technology studies0.0010.002
Scholarly communication0.0020.003
Open science0.0020.002
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0100.002

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.046
GPT teacher head0.210
Teacher spread0.164 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations5
Published2002
Admission routes1
Has abstractyes

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