Semi-Classical Dirac Vacuum Polarisation in a Scalar Field

被引：1

作者：

Lampart, Jonas ^{[1
,2
]}

Lewin, Mathieu ^{[2
,3
]}

机构：

[1] PSL Res Univ, Pl Marechal de Lattre de Tassigny, F-75775 Paris 16, France

[2] CEREMADE, UMR CNRS 7534, Pl Marechal de Lattre de Tassigny, F-75775 Paris 16, France

[3] CNRS, Pl Marechal de Lattre de Tassigny, F-75775 Paris 16, France

来源：

ANNALES HENRI POINCARE | 2016年 / 17卷 / 08期

基金：

欧洲研究理事会;

关键词：

RELATIVISTIC MANY-BODY; QUANTUM ELECTRODYNAMICS; DERIVATIVE EXPANSION; STABILITY; EXISTENCE; NUCLEAR; SEA;

D O I：

10.1007/s00023-016-0472-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study vacuum polarisation effects of a Dirac field coupled to an external scalar field and derive a semi-classical expansion of the regularised vacuum energy. The leading order of this expansion is given by a classical formula due to Chin, Lee-Wick and Walecka, for which our result provides the first rigorous proof. We then discuss applications to the non-relativistic large-coupling limit of an interacting system, and to the stability of homogeneous systems.

引用

页码：1937 / 1954

页数：18

共 31 条

[1] On the stability of the relativistic electron-positron field [J].

Bach, V ;

Barbaroux, JM ;

Helffer, B ;

Siedentop, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 201 (02) :445-460

[2] EVALUATION OF DIRAC SEA EFFECTS IN A FINITE SYSTEM [J].

BLUNDEN, PG .

PHYSICAL REVIEW C, 1990, 41 (04) :1851-1854

[3] FROM QUANTUM ELECTRODYNAMICS TO MEAN-FIELD THEORY .1. THE BOGOLIUBOV-DIRAC-FOCK FORMALISM [J].

CHAIX, P ;

IRACANE, D .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1989, 22 (23) :3791-3814

[4] FROM QUANTUM ELECTRODYNAMICS TO MEAN-FIELD THEORY .2. VARIATIONAL STABILITY OF THE VACUUM OF QUANTUM ELECTRODYNAMICS IN THE MEAN-FIELD APPROXIMATION [J].

CHAIX, P ;

IRACANE, D ;

LIONS, PL .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1989, 22 (23) :3815-3828

[5] DERIVATIVE EXPANSION FOR THE ONE-LOOP EFFECTIVE ACTIONS WITH INTERNAL SYMMETRY [J].

CHAN, LH .

PHYSICAL REVIEW LETTERS, 1986, 57 (10) :1199-1202

[6] DERIVATIVE EXPANSION OF THE EFFECTIVE ACTION [J].

CHEYETTE, O .

PHYSICAL REVIEW LETTERS, 1985, 55 (22) :2394-2397

[7] RELATIVISTIC MANY-BODY STUDIES OF HIGH-DENSITY MATTER [J].

CHIN, SA .

PHYSICS LETTERS B, 1976, 62 (03) :263-267

[8] RELATIVISTIC MANY-BODY THEORY OF HIGH-DENSITY MATTER [J].

CHIN, SA .

ANNALS OF PHYSICS, 1977, 108 (02) :301-367

[9] EQUATION OF STATE FOR NUCLEAR AND HIGHER-DENSITY MATTER BASED ON A RELATIVISTIC MEAN-FIELD THEORY [J].

CHIN, SA ;

WALECKA, JD .

PHYSICS LETTERS B, 1974, B 52 (01) :24-28

[10]

Dimassi M., 1999, Spectral asymptotics in the semiclassical limit, V268

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