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Instantons and the Chiral Phase Transition
High Energy Physics - Phenomenology · Submitted 23 Feb 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find instanton effects of strength comparable to that of gluon exchange.
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The abstract, sentence by sentence
We examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. For a range of N_f (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling $\alpha_*$. As N_f decreases, $\alpha_*$ increases, and it eventually exceeds a critical value sufficient to trigger chiral symmetry breaking. For the case N = 2, we estimate the critical values of N_f and $\alpha_*$ due to instantons by numerically solving a gap equation with an instanton-generated kernel. We find instanton effects of strength comparable to that of gluon exchange.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. | contribution 0.92 | 0.87 | 0.06 | unclear 0.55 |
| s1 | For a range of N_f (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling $\alpha_*$. | result 0.81 | 0.46 | 0.08 | asserted 1.00 |
| s2 | As N_f decreases, $\alpha_*$ increases, and it eventually exceeds a critical value sufficient to trigger chiral symmetry breaking. | result 0.72 | 0.39 | 0.33 | asserted 0.99 |
| s3 | For the case N = 2, we estimate the critical values of N_f and $\alpha_*$ due to instantons by numerically solving a gap equation with an instanton-generated kernel. | method 0.83 | 0.96 | 0.12 | asserted 0.90 |
| s4 | We find instanton effects of strength comparable to that of gluon exchange. | result 0.99 | 0.95 | 0.30 | asserted 1.00 |
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The paper
Original abstract
We examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. For a range of N_f (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling $\alpha_*$. As N_f decreases, $\alpha_*$ increases, and it eventually exceeds a critical value sufficient to trigger chiral symmetry breaking. For the case N = 2, we estimate the critical values of N_f and $\alpha_*$ due to instantons by numerically solving a gap equation with an instanton-generated kernel. We find instanton effects of strength comparable to that of gluon exchange.
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4 arXiv papers cite this in 4 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 1 paper
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Investigations of this phase structure have been performed by continuum methods [ref] , as well as lattice simulations [ref] .
Scaling laws near the conformal window of many-flavor QCD · Introduction · 0.90
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