Gluon condensate via Dirac spectral density: IR phase, scale anomaly, and IR decoupling
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00642355" target="_blank" >RIV/61389005:_____/25:00642355 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/prd/abstract/10.1103/w33k-gr8k" target="_blank" >https://journals.aps.org/prd/abstract/10.1103/w33k-gr8k</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/w33k-gr8k" target="_blank" >10.1103/w33k-gr8k</a>
Alternative languages
Result language
angličtina
Original language name
Gluon condensate via Dirac spectral density: IR phase, scale anomaly, and IR decoupling
Original language description
Quark and gluon scalar densities, ( yryr) and (F2), reflect the degree of scale-invariance violations in SU(N) gauge theories with fundamental quarks. It is known that (yryr) can be usefully scale-decomposed via the spectral density p(A) of Dirac modes. Here, we give such formula for (F2), which reveals that the gluon condensate is a strictly UV quantity. For the recently found IR phase [1,2], where the infrared (IR) degrees of freedom separate out and become independent of the system's bulk, it implies that (F2) due to this IR part vanishes. Its glue, thus, does not contribute to the scale anomaly of the entire system and is, in this sense, scale invariant consistently with the original claim. Associated formulas are used to define the IR decoupling of glue, which may serve as an alternative indicator of IR phase transition. Using the simplest form of coherent lattice QCD, we express the effective action of full QCD entirely via Dirac spectral density.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
112
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
094505
UT code for WoS article
001619465300020
EID of the result in the Scopus database
2-s2.0-105026678612