The lF4 and sine-Gordon Field Equation
•The simplest examples
are:
•J = lF4 which leads to
the cubic KG equation:
• ¶m¶mF + m2F +lF3 = 0
•And JsG = (sin lF) m2/l-m2 F
•which leads to the sine-Gordon equation:
@
¹
@
¹
©
+
m
2
¸
s
i
n
¸
©
=
0
When
l approaches zero they
both reduce to the usual linear KG equation: ¶m¶m+m2f=0