Parameters
Simulation
φ⁴ kink:
φ_K(x,t) = v tanh(γm(x−vt)/√2)
Interpolates between φ=−v and φ=+v
Topological charge:
Q = ½∫∂_x φ dx = ½[φ(+∞)−φ(−∞)]
Q=+1 (kink), Q=−1 (antikink)
Kink mass:
M = (2√2/3) m³/λ
Collision:
Kink+antikink annihilate via bion (oscillating bound state) or radiation.
φ_K(x,t) = v tanh(γm(x−vt)/√2)
Interpolates between φ=−v and φ=+v
Topological charge:
Q = ½∫∂_x φ dx = ½[φ(+∞)−φ(−∞)]
Q=+1 (kink), Q=−1 (antikink)
Kink mass:
M = (2√2/3) m³/λ
Collision:
Kink+antikink annihilate via bion (oscillating bound state) or radiation.