Quantum field theory from an exponential action functional

被引:44
作者
El-Nabulsi, A. R. [1 ,2 ]
机构
[1] Neijiang Normal Univ, Key Lab Numer Simulat Sichuan Prov, Neijiang 641112, Sichuan, Peoples R China
[2] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641112, Sichuan, Peoples R China
关键词
Exponential action functional; Modified Klein-Gordon equation; Modified Dirac equation; Non-standard Lagrangians; FRACTIONAL DYNAMICS; SYMMETRY;
D O I
10.1007/s12648-012-0187-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In recent years plentiful research papers have been advocated to the study of analytical techniques in calculus of variations. Many important applications are found in such fields as quantum field theories and many new properties have been raised, studied and explicit solutions have been achieved by many authors. In this work we derive a modification of the Klein-Gordon and Dirac equations of quantum field theories starting from an exponential action functional recently introduced by the author of the present work. Both standard and non-standard Lagrangians are considered. It was observed that some quantum field equations which appear in many field theories dealing with quantum gravitational corrections are raised.
引用
收藏
页码:379 / 383
页数:5
相关论文
共 42 条
[1]  
Arnold V. I., 1978, Mathematical methods of classical mechanics
[2]   Fractional and noncommutative spacetimes [J].
Arzano, Michele ;
Calcagni, Gianluca ;
Oriti, Daniele ;
Scalisi, Marco .
PHYSICAL REVIEW D, 2011, 84 (12)
[3]  
Bezares-Roder NM, 2008, INDIAN J PHYS, V82, P69
[4]  
Bollini C. G., 1987, Revista Brasileira de Fisica, V17, P14
[5]   Quantum field theory in (0+1) dimensions [J].
Boozer, A. D. .
EUROPEAN JOURNAL OF PHYSICS, 2007, 28 (04) :729-745
[6]  
Calcagni G., 2012, JHEP, V01
[7]   Fractal Universe and Quantum Gravity [J].
Calcagni, Gianluca .
PHYSICAL REVIEW LETTERS, 2010, 104 (25)
[8]   Quantum field theory, gravity and cosmology in a fractal universe [J].
Calcagni, Gianluca .
JOURNAL OF HIGH ENERGY PHYSICS, 2010, (03)
[9]   Equilibration in quark gluon plasma [J].
Das, S. K. ;
Alam, J. ;
Mohanty, P. .
INDIAN JOURNAL OF PHYSICS, 2011, 85 (07) :1149-1153
[10]   Gauge symmetry and supersymmetry in the Higgsless standard model [J].
Deo, B. B. ;
Maharana, L. .
INDIAN JOURNAL OF PHYSICS, 2010, 84 (07) :847-866