Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory

被引：67

作者：

Weickgenannt, Nora ^{[1
]}

Speranza, Enrico ^{[1
,2
,3
,4
]}

Sheng, Xin-li ^{[5
,6
]}

Wang, Qun ^{[7
,8
,9
]}

Rischke, Dirk H. ^{[1
,4
]}

机构：

[1] Goethe Univ, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt, Germany

[2] Univ Illinois, Illinois Ctr Adv Studies Universe, Urbana, IL 61801 USA

[3] Univ Illinois, Dept Phys, Urbana, IL 61801 USA

[4] Helmholtz Res Acad Hesse FAIR, Campus Riedberg,Max von Laue Str 12, D-60438 Frankfurt, Germany

[5] Cent China Normal Univ, Key Lab Quark & Lepton Phys MOE, Wuhan 430079, Peoples R China

[6] Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China

[7] Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China

[8] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China

[9] Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China

来源：

PHYSICAL REVIEW D | 2021年 / 104卷 / 01期

基金：

中国国家自然科学基金;

关键词：

KINETIC-THEORY; POLARIZATION; VORTICITY; TENSOR; FLUID; QUARK; TIME;

D O I：

10.1103/PhysRevD.104.016022

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive the Boltzmann equation and the collision kernel for massive spin-1/2 particles, using the Wigner-function formalism and employing an expansion in powers of.. The phase space is enlarged to include a variable related to the spin degrees of freedom. This allows us to reduce the transport equations of the independent components of the Wigner function to one scalar equation. To next-to-leading order in., we find that the collision kernel contains both local and nonlocal terms. We show that off-shell contributions cancel in the Boltzmann equation. Our framework can be used to study spin-polarization phenomena induced by vorticity as recently observed in heavy-ion collisions and in condensed-matter systems.

引用

页数：22

共 89 条

[1]

Abrikosov A., 1965, QUANTUM FIELD THEORE

[2] Polarization of Λ ((Λ)over-bar) Hyperons along the Beam Direction in Au plus Au Collisions at √SNN=200 GeV [J].

Adam, J. ;

Adamczyk, L. ;

Adams, J. R. ;

Adkins, J. K. ;

Agakishiev, G. ;

Aggarwal, M. M. ;

Ahammed, Z. ;

Alekseev, I ;

Anderson, D. M. ;

Aoyama, R. ;

Aparin, A. ;

Arkhipkin, D. ;

Aschenauer, E. C. ;

Ashraf, M. U. ;

Atetalla, F. ;

Attri, A. ;

Averichev, G. S. ;

Bairathi, V ;

Barish, K. ;

Bassill, A. J. ;

Behera, A. ;

Bellwied, R. ;

Bhasin, A. ;

Bhati, A. K. ;

Bielcik, J. ;

Bielcikova, J. ;

Bland, L. C. ;

Bordyuzhin, I. G. ;

Brandenburg, J. D. ;

Brandin, A., V ;

Bryslawskyj, J. ;

Bunzarov, I ;

Butterworth, J. ;

Caines, H. ;

Sanchez, M. Calderon de la Barca ;

Cebra, D. ;

Chakaberia, I ;

Chaloupka, P. ;

Chan, B. K. ;

Chang, F-H ;

Chang, Z. ;

Chankova-Bunzarova, N. ;

Chatterjee, A. ;

Chattopadhyay, S. ;

Chen, J. H. ;

Chen, X. ;

Cheng, J. ;

Cherney, M. ;

Christie, W. ;

Crawford, H. J. .

PHYSICAL REVIEW LETTERS, 2019, 123 (13)

[3] Global Λ hyperon polarization in nuclear collisions [J].

Adamczyk, L. ;

Adkins, J. K. ;

Agakishiev, G. ;

Aggarwal, M. M. ;

Ahammed, Z. ;

Ajitanand, N. N. ;

Alekseev, I. ;

Anderson, D. M. ;

Aoyama, R. ;

Aparin, A. ;

Arkhipkin, D. ;

Aschenauer, E. C. ;

Ashraf, M. U. ;

Attri, A. ;

Averichev, G. S. ;

Bai, X. ;

Bairathi, V. ;

Behera, A. ;

Bellwied, R. ;

Bhasin, A. ;

Bhati, A. K. ;

Bhattarai, P. ;

Bielcik, J. ;

Bielcikova, J. ;

Bland, L. C. ;

Bordyuzhin, I. G. ;

Bouchet, J. ;

Brandenburg, J. D. ;

Brandin, A. V. ;

Brown, D. ;

Bunzarov, I. ;

Butterworth, J. ;

Caines, H. ;

Sanchez, M. Calderon De la Barca ;

Campbell, J. M. ;

Cebra, D. ;

Chakaberia, I. ;

Chaloupka, P. ;

Chang, Z. ;

Chankova-Bunzarova, N. ;

Chatterjee, A. ;

Chattopadhyay, S. ;

Chen, X. ;

Chen, J. H. ;

Chen, X. ;

Cheng, J. ;

Cherney, M. ;

Christie, W. ;

Contin, G. ;

Crawford, H. J. .

NATURE, 2017, 548 (7665) :62-+

[4] Relaxation time for the alignment between the spin of a finite-mass quark or antiquark and the thermal vorticity in relativistic heavy-ion collisions [J].

Ayala, Alejandro ;

de la Cruz, David ;

Hernandez, L. A. ;

Salinas, Jordi .

PHYSICAL REVIEW D, 2020, 102 (05)

[5] Relaxation time for quark spin and thermal vorticity alignment inheavy-ion collisions [J].

Ayala, Alejandro ;

de la Cruz, David ;

Hernandez-Ortiz, S. ;

Hernandez, L. A. ;

Salinas, Jordi .

PHYSICS LETTERS B, 2020, 801

[6] Gyromagnetic and electron-inertia effects [J].

Barnett, SJ .

REVIEWS OF MODERN PHYSICS, 1935, 7 (02) :0129-0166

[7] Collective Longitudinal Polarization in Relativistic Heavy-Ion Collisions at Very High Energy [J].

Becattini, F. ;

Karpenko, Iu. .

PHYSICAL REVIEW LETTERS, 2018, 120 (01)

[8] A study of vorticity formation in high energy nuclear collisions [J].

Becattini, F. ;

Inghirami, G. ;

Rolando, V. ;

Beraudo, A. ;

Del Zanna, L. ;

De Pace, A. ;

Nardi, M. ;

Pagliara, G. ;

Chandra, V. .

EUROPEAN PHYSICAL JOURNAL C, 2015, 75 (09)

[9] Relativistic distribution function for particles with spin at local thermodynamical equilibrium [J].

Becattini, F. ;

Chandra, V. ;

Del Zanna, L. ;

Grossi, E. .

ANNALS OF PHYSICS, 2013, 338 :32-49

[10] Λ polarization in peripheral heavy ion collisions [J].

Becattini, F. ;

Csernai, L. P. ;

Wang, D. J. .

PHYSICAL REVIEW C, 2013, 88 (03)

← 1 2 3 4 5 6 7 8 9 →