Constructive quantum field theory is like building a sandcastle on the beach. When we want to build a sandcastle, we need to put sand on top of each other in a certain way to create a castle shape. In constructive quantum field theory, we want to build something called a quantum field theory.
A quantum field theory is an explanation of how very tiny particles behave and interact with each other. Imagine that tiny particles are like small balls, and when they touch each other, they can push or pull each other. But they don't move like normal balls we can see, they move in a very strange way called quantum mechanics.
In constructive quantum field theory, we want to understand how these tiny particles interact with each other by building a mathematical sandcastle. The sand in this case is like the mathematical equations that we use to describe how these tiny particles behave and interact with each other.
But building this kind of sandcastle can be very hard because the equations we use can be very complicated, like building a very big and intricate sandcastle that needs a lot of work. We need to be very careful and follow specific rules when building our sandcastle, and we need to make sure it's stable and doesn't fall apart.
So, in summary, constructive quantum field theory is building a mathematical sandcastle to explain how very tiny particles behave and interact with each other in a very strange way called quantum mechanics.