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pith:26RKHNIP

pith:2026:26RKHNIPAAQAWELYD3BBM5JHT6

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Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces

Albert C. R. Mendes, Everton M. C. Abreu, Maria G. Sousa, M. J. Neves

Noncommutative phase space deformations modify the heat capacity of Yukawa and Lee-Wick potentials and can produce regions of negative values.

arxiv:2601.10948 v2 · 2026-01-16 · hep-th

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Claims

C1strongest claim

Our results show that the introduction of the noncommutative parameter Θ induces nontrivial modifications in thermodynamic quantities, including qualitative changes in the heat capacity. In particular, regions with negative heat capacity may emerge, which we interpret as signatures of the limitations of the semiclassical and perturbative treatment rather than definitive physical effects.

C2weakest assumption

The analysis is carried out under the assumption of weak noncommutativity and |β V(r)| ≪ 1, which constrains the regime of validity of the results.

C3one line summary

Noncommutative phase-space deformations applied to Yukawa and Lee-Wick potentials produce modified thermodynamic quantities and regions of negative heat capacity, interpreted as limitations of the semiclassical perturbative treatment.

References

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[1] INTRODUCTION The noncommutative (NC) phase-space theories have emerged as a promising framework in theoretical physics, challenging conventional conceptions of spacetime continuity, and of- fering new

[2] THE NC YUKA W A AND LEE-WICK POTENTIAL In NC theory, as a particular realization of these frameworks, is characterized by the commutation relation between spatial coordinate operators,i.e., [ ˆxi ,ˆxj

[3] Our goal is to investigate how the introduction of the NC Θ-parameter modifies the thermodynamic quantities of systems governed by Yukawa and Lee–Wick type interactions

[4] So, for the calculation of the heat capacity, we need to obtain the average energy of the system, which is related to the partition function

[5] I(0) 2 D0(β)−(I (0) 1 −β I (0) 2 )2 D2 0(β) # +Θβ 2

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Receipt and verification

First computed	2026-07-15T01:21:49.502805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a2a3b50f00200b11781ec21675279fad9d79f4a18bece7e4ba14f92ece4139

Aliases

arxiv: 2601.10948 · arxiv_version: 2601.10948v2 · doi: 10.48550/arxiv.2601.10948 · pith_short_12: 26RKHNIPAAQA · pith_short_16: 26RKHNIPAAQAWELY · pith_short_8: 26RKHNIP

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/26RKHNIPAAQAWELYD3BBM5JHT6 \
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  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d7a2a3b50f00200b11781ec21675279fad9d79f4a18bece7e4ba14f92ece4139

Canonical record JSON

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    "abstract_canon_sha256": "0c1ce73c31a44873c96a97715f89bb44e091d39129ac062cfb9841e4c895dbf5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-01-16T02:29:47Z",
    "title_canon_sha256": "f16b8217624ff5e80eb5a925fc4ba46ddba3e8e087a5e23b8c70635df8174862"
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    "kind": "arxiv",
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