scholarly journals Dynamical mass generation of a two-component fermion in three-dimensional Maxwell-Chern-Simons QED: The lowest ladder approximation

1999 ◽  
Vol 60 (10) ◽  
Author(s):  
Toyoki Matsuyama ◽  
Hideko Nagahiro ◽  
Satoko Uchida
Keyword(s):  
Three Dimensional ◽  
Ladder Approximation ◽  
Mass Generation ◽  
Dynamical Mass ◽  
Two Component ◽  
Chern Simons ◽  
Dynamical Mass Generation

scholarly journals DYNAMICAL MASS GENERATION AND CRITICAL CURVATURE IN THE O(N) NONLINEAR SIGMA MODEL

1996 ◽  
Vol 11 (19) ◽  
pp. 1569-1578
Author(s):  
DAE-YUP SONG
Keyword(s):  
Sigma Model ◽  
Three Dimensional ◽  
Nonlinear Sigma Model ◽  
Mass Generation ◽  
Dynamical Mass ◽  
Large N ◽  
Static Einstein Universe ◽  
Critical Curvature ◽  
Second Order Phase Transition ◽  
Dynamical Mass Generation

The large-N nonlinear O(N) sigma model with the curvature coupled term ξRn2 is examined on a spacetime of R1×S2 topology (three-dimensional static Einstein universe). Making use of the cutoff method, we find the renormalized effective potential which shows that, for ξ>1/8, there is a second-order phase transition. Above the critical curvature, the dynamical mass generation does not take place even in the strong-coupled regime. The phase structure of the model on S2 is also discussed.

scholarly journals Dynamical mass generation in QED$_3$: A non-perturbative approach

2019 ◽  
Vol 2019 (7) ◽  
Author(s):  
G B de Gracia ◽  
B M Pimentel ◽  
L Rabanal
Keyword(s):  
Hilbert Space ◽  
Quantum Electrodynamics ◽  
Mass Generation ◽  
Dynamical Mass ◽  
Perturbative Approach ◽  
Photon Field ◽  
Chern Simons ◽  
Dynamical Mass Generation

Abstract In this work we provide a non-perturbative description of the phenomenon of dynamical mass generation in the case of quantum electrodynamics in $2+1$ dimensions. We will use the Kugo–Ojima–Nakanishi formalism to conclude that the physical Hilbert space of the asymptotic photon field is the same as that of the Maxwell–Chern–Simons.

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