Nat. Sci. 14 (1996) pp.15-25, by M. Koseki, M. Sato and R. Endo]

山形大学紀要（自然科学）第18巻第 号別刷 平成29年（2017） 月

ERRATA: BRST Symmetric Gaugeon Formalism for Yang-Mills Fields [Bull. Yamagata Univ.

Nat. Sci. 14 (1996) pp.15-25, by M. Koseki, M. Sato and R. Endo]

遠   藤   龍   介

（理学部物理学科）

Bull.ofYamagata Univ.,Nat.Sci.,Vol.1８,No.４,Feb.201７

３３

In the following, corrected, replaced or added parts to the original version of the paper are written in red color.

Eq. (2.18) on page 19 should be replaced by L=−1

4F^μνF_μν−A^μ∇_μB+∂^μY_∗∂_μY +ε

2(Y_∗+αααB)²+i(gA_μ×ccc_∗)ααα∂^μK

−i∇^μccc_∗D_μccc−i∂^μK_∗∂_μK+L_matter(ψ, D_μψ), (2.18) where the red-colored term was dropped in the original version. With this term added Eq.(2.18) is consistent with Eq.(2.20). Similarly, Eq.(2.21) on page 20 should be replaced by

J_B^μ=−F^μνD_νccc−i g

2 ∇^μccc∗(ccc×ccc)+(D^μccc)B−Y_∗∂^↔μK

−g{(ααα×B)A^μ+i(ααα×ccc_∗)D^μccc}K.ccc (2.21) Eq.(3.1) on page 21 should be

L_YTM=2tr

−1

4F^μνF_μν+ (A^μ−αF^μ)∇μB + 2tr

∂^μY_∗∂_μY +ε

2Y_∗²−i∇^μc_∗D_μc

+L_matter(ψ, D_μψ), (3.1) and the same kind of correction is necessary to Eq.(3.15) on page 22:

L=2tr

−1

4F^μνF_μν+ (A^μ−αF^μ)∇_μB+∂^μY_∗∂_μY +ε 2Y_∗²

+ 2tr {−i∇^μc_∗D_μc−i∂^μK_∗∂_μK}+L_matter(ψ, D_μψ). (3.15) In Eq.(3.24) on page 23, one of the partial derivatives should be replaced by a form covariant derivative∇^μ, that is, we should have

L=2tr

−1

4F^μνF_μν

+L_matter(ψ, D_μψ)

−iδ_B 2tr

c_∗∇^μ(A_μ−αF_μ)−∂^μK_∗∂_μY −ε

2K_∗Y_∗

. (3.24)

ERRATA: BRST Symmet ri c Gaugeon Formal i sm f or Yang- Mi l l s Fi el ds [ Bul l . Yamagat a Uni v. Nat . Sci . 14 ( 1996) pp. 15- 25,

by M. Koseki , M. Sat o and R. Endo]

Ryusuke ENDO*

*DepartmentofPhysics,Faculty ofScience,Yamagata University,Yamagata 990-8560,Japan