On SU(2)CS-like groups and invariance of the fermionic action in QCD Article Swipe
In this work, we introduce some new U(1) symmetry groups of the free fermionic action in Euclidean space–time, which are a consequence of parity and time-reversal symmetries. Afterwards, we discuss how the introduction of a gauge interaction affects the invariance of the action, with special reference to QCD. Moreover, inspired by recent QCD lattice results of Glozman et al., in which an interesting and unexpected symmetry group has been observed, namely [Formula: see text] (that contains [Formula: see text] as subgroup), we build other [Formula: see text]-like groups in Euclidean space–time using the previously introduced U(1) groups. Finally we argue about the possible invariance of the fermionic action with respect these new [Formula: see text]-like groups and its consequence on the hadron temporal correlators.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1142/s0217751x22501020
- OA Status
- green
- Cited By
- 2
- References
- 24
- Related Works
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- OpenAlex ID
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https://openalex.org/W3198500686Canonical identifier for this work in OpenAlex
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https://doi.org/10.1142/s0217751x22501020Digital Object Identifier
- Title
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On SU(2)CS-like groups and invariance of the fermionic action in QCDWork title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-05-27Full publication date if available
- Authors
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Marco CatilloList of authors in order
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https://doi.org/10.1142/s0217751x22501020Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2109.03532Direct OA link when available
- Concepts
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Physics, Quantum chromodynamics, Homogeneous space, Mathematical physics, Euclidean geometry, Symmetry group, Special unitary group, Lattice QCD, Parity (physics), Action (physics), Particle physics, Lattice (music), Gauge theory, Theoretical physics, Quantum mechanics, Mathematics, Acoustics, GeometryTop concepts (fields/topics) attached by OpenAlex
- Cited by
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2Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1, 2022: 1Per-year citation counts (last 5 years)
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24Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.invariance | 39, 103 |
| abstract_inverted_index.previously | 93 |
| abstract_inverted_index.subgroup), | 80 |
| abstract_inverted_index.text]-like | 86, 114 |
| abstract_inverted_index.unexpected | 64 |
| abstract_inverted_index.Afterwards, | 27 |
| abstract_inverted_index.consequence | 21, 118 |
| abstract_inverted_index.interaction | 36 |
| abstract_inverted_index.interesting | 62 |
| abstract_inverted_index.symmetries. | 26 |
| abstract_inverted_index.correlators. | 123 |
| abstract_inverted_index.introduction | 32 |
| abstract_inverted_index.space–time | 90 |
| abstract_inverted_index.space–time, | 17 |
| abstract_inverted_index.time-reversal | 25 |
| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 89 |
| corresponding_author_ids | https://openalex.org/A5019019492 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 1 |
| corresponding_institution_ids | https://openalex.org/I35440088 |
| citation_normalized_percentile.value | 0.87755674 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |