On the vacuum vector of the Yukawa2 model

1971 ◽  
Vol 1 (23) ◽  
pp. 946-948 ◽  
Author(s):  
Y. Park
Keyword(s):  
Vacuum Vector

scholarly journals FORM FACTORS OF THE SU(2) INVARIANT MASSIVE THIRRING MODEL WITH BOUNDARY REFLECTION

2000 ◽  
Vol 15 (19) ◽  
pp. 3037-3052
Author(s):  
H. FURUTSU ◽  
T. KOJIMA ◽  
Y.-H. QUANO
Keyword(s):  
Vertex Operator ◽  
Present Model ◽  
Form Factors ◽  
Integral Representations ◽  
Thirring Model ◽  
Operator Approach ◽  
Vacuum Vector ◽  
Massive Thirring Model

The SU(2)-invariant massive Thirring model with a boundary is considered on the basis of the vertex operator approach. The bosonic formulae are presented for the vacuum vector and its dual in the presence of the boundary. The integral representations are also given for form factors of the present model.

scholarly journals Pion-to-vacuum vector and axial vector amplitudes and weak decays of pions in a magnetic field

2019 ◽  
Vol 99 (5) ◽  
Author(s):  
M. Coppola ◽  
D. Gomez Dumm ◽  
S. Noguera ◽  
N. N. Scoccola
Keyword(s):  
Magnetic Field ◽  
Axial Vector ◽  
Vacuum Vector ◽  
Weak Decays

scholarly journals SOME REMARKS ON PSEUDO-TRACE FUNCTIONS FOR ORBIFOLD MODELS ASSOCIATED WITH SYMPLECTIC FERMIONS

2013 ◽  
Vol 24 (02) ◽  
pp. 1350008 ◽  
Author(s):  
YUSUKE ARIKE ◽  
KIYOKAZU NAGATOMO
Keyword(s):  
Vertex Operator ◽  
Operator Algebras ◽  
Finiteness Condition ◽  
Linear Functions ◽  
Vertex Operator Algebras ◽  
Vacuum Vector ◽  
Linearly Independent ◽  
The One

We propose a method to give pseudo-trace functions for vertex operator algebras satisfying Zhu's finiteness condition and apply our method to the ℤ2-orbifold model associated with d-pairs of symplectic fermions. Pseudo-trace functions are defined by using symmetric linear functions on (higher) Zhu's algebras. But our approach does not use such algebras. For d = 1, we determine the dimension of the space of one-point functions, that is, the one of the triplet [Formula: see text]-algebra. For d > 1, we construct 22d-1 + 3 linearly independent one-point functions and study their values at the vacuum vector.

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