ABSTRACT

In this section we shall study the large β limit for the D = 2 principal chiral field described by the Lagrangian: () https://www.w3.org/1998/Math/MathML" display="block"> L   =   1 2 e 0 2   Tr ( ∂ μ g - 1 ∂ μ g ) ( 1 / e 0 2     =   β   »   1     and     g ∈     G ) https://www.w3.org/1999/xlink" xlink:href="https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203755082/a4d0aedc-311a-4659-aaa3-f5a61da3eb62/content/eq76.tif"/> As we discussed in Chapter 1, the infrared interaction of the massless particles described by (2.1) is logarithmically strong. It is our aim now to reveal the structure of this logarithmic interaction.