scholarly journals Automated calculations for massive fermion production with aı˚Talc

2004 ◽  
Vol 135 ◽  
pp. 328-332 ◽  
Author(s):  
A. Lorca ◽  
T. Riemann
Keyword(s):  
Massive Fermion

scholarly journals A PATH-INTEGRAL APPROACH FOR BOSONIC EFFECTIVE THEORIES FOR FERMION FIELDS IN FOUR AND THREE DIMENSIONS

2000 ◽  
Vol 15 (05) ◽  
pp. 755-770 ◽  
Author(s):  
LUIZ C. L. BOTELHO
Keyword(s):  
Path Integral ◽  
Infrared Region ◽  
Three Dimensions ◽  
Integral Approach ◽  
Ultraviolet Region ◽  
Fermion Field ◽  
Massive Fermion ◽  
Bosonic Field ◽  
Fermion Fields ◽  
Effective Theories

We study four-dimensional effective bosonic field theories for (A) massive fermion field in the infrared region and (B) massive fermion in the ultraviolet region by using an appropriate fermion path integral chiral variable change and (C) Polyakov's Fermi–Bose transmutation in the 3D-Abelian Thirring model and its triviality as a quantum field theory.

scholarly journals HIGHER-DERIVATIVE TWO-DIMENSIONAL MASSIVE FERMION THEORIES

2000 ◽  
Vol 15 (15) ◽  
pp. 2237-2254 ◽  
Author(s):  
L. V. BELVEDERE ◽  
R. L. P. G. AMARAL ◽  
N. A. LEMOS ◽  
C. G. CARVALHAES
Keyword(s):  
Lorentz Invariance ◽  
Canonical Quantization ◽  
Mass Term ◽  
Two Dimensional ◽  
Massive Fermion ◽  
Higher Derivative ◽  
Odd Order ◽  
Boson Theory ◽  
Current Interaction ◽  
Hilbert Subspace

We consider the canonical quantization of a generalized two-dimensional massive fermion theory containing higher odd-order derivatives. The requirements of Lorentz invariance, hermiticity of the Hamiltonian and absence of tachyon excitations suffice to fix the mass term, which contains a derivative coupling. We show that the basic quantum excitations of a higher-derivative theory of order 2N+1 consist of a physical usual massive fermion, quantized with positive metric, plus 2N unphysical massless fermions, quantized with opposite metrics. The positive-metric Hilbert subspace, which is isomorphic to the space of states of a massive free fermion theory, is selected by a subsidiary-like condition. Employing the standard bosonization scheme, the equivalent boson theory is derived. The results obtained are used as a guideline to discuss the solution of a theory including a current–current interaction.

scholarly journals Dirac equation based on the vector representation of the Lorentz group

2020 ◽  
Vol 135 (10) ◽  
Author(s):  
Eckart Marsch ◽  
Yasuhito Narita
Keyword(s):  
Gauge Theory ◽  
Dirac Equation ◽  
Lorentz Group ◽  
Degrees Of Freedom ◽  
Lagrangian Density ◽  
Degree Of Freedom ◽  
Vector Representation ◽  
Massive Fermion

AbstractIn this paper, we derive an expanded Dirac equation for a massive fermion doublet, which has in addition to the particle/antiparticle and spin-up/spin-down degrees of freedom explicity an isospin-type degree of freedom. We begin with revisiting the four-vector Lorentz group generators, define the corresponding gamma matrices and then write a Dirac equation for the fermion doublet with eight spinor components. The appropriate Lagrangian density is established, and the related chiral and SU(2) symmetry is discussed in detail, as well as applications to an electroweak-style gauge theory. In “Appendix,” we present some of the relevant matrices.

scholarly journals Two-loop QCD corrections of the massive fermion propagator

1999 ◽  
Vol 539 (3) ◽  
pp. 671-690 ◽  
Author(s):  
J. Fleischer ◽  
F. Jegerlehner ◽  
O.V. Tarasov ◽  
O.L. Veretin
Keyword(s):  
Fermion Propagator ◽  
Massive Fermion

scholarly journals CPTM Symmetry for the Dirac Equation and Its Extended Version Based on the Vector Representation of the Lorentz Group

2021 ◽  
Vol 9 ◽  
Author(s):  
E. Marsch ◽  
Y. Narita
Keyword(s):  
Dirac Equation ◽  
Lorentz Group ◽  
Essential Role ◽  
Fundamental Equation ◽  
Extended Version ◽  
Vector Representation ◽  
Massive Fermion ◽  
The Standard Model ◽  
Cpt Theorem ◽  
Extended Dirac Equation

We revisit the CPT theorem for the Dirac equation and its extended version based on the vector representation of the Lorentz group. Then it is proposed that CPTM may apply to this fundamental equation for a massive fermion a s a singlet or a doublet with isospin. The symbol M stands here for reversing the sign of the mass in the Dirac equation, which can be accomplished by operation on it with the so-called gamma-five matrix that plays an essential role for the chirality in the Standard Model. We define the CPTM symmetry for the standard and extended Dirac equation and discuss its physical implications and some possible consequences for general relativity.

MASSIVE FERMION AND CHIRAL GAUGE SYMMETRY

1990 ◽  
Vol 05 (31) ◽  
pp. 2607-2613 ◽  
Author(s):  
SINYA AOKI
Keyword(s):  
Gauge Symmetry ◽  
Effective Action ◽  
Gauge Theories ◽  
Opposite Sign ◽  
Chiral Anomaly ◽  
Fermion Mass ◽  
Mass Limit ◽  
Massive Fermion ◽  
Dependent Term ◽  
Mass Dependent

A mass-dependent odd-parity term in the effective action of chiral gauge theories as well as the usual mass-independent chiral anomaly have been shown to exist. In particular, this mass-dependent term is equal to the anomaly with opposite sign in the limit of infinite fermion mass, and therefore no odd-parity term remains in this limit. We also consider the different regularizations which produce the Wess-Zumino term in the infinite fermion mass limit.

Sign in / Sign up

Export Citation Format

Share Document