https://doi.org/10.1140/epjc/s10052-019-7220-7
Regular Article - Theoretical Physics
A dynamical metric and its ground state from the breaking down of the topological invariance of the Euler characteristic
1
Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, PUE, Mexico
2
Departamento de Actuaria, Física y Matemáticas, Universidad de las Américas, Puebla, Apartado postal 408, Ex-hacienda Sta. Catarina Mártir, 72820, Cholula, PUE, Mexico
3
Departamento de Física Atómica, Molecular y Nuclear, Facultad de Ciencias, Campus Fuentenueva S/N, 18071, Granada, Spain
* e-mail: aescalan@ifuap.buap.mx
Received:
17
May
2019
Accepted:
10
August
2019
Published online:
21
August
2019
Quantum state wave functionals are constructed in exact form for the graviton-like field theory obtained by breaking down the topological symmetry of the string action related with the Euler characteristic of the world-surface; their continuous and discrete symmetries are discussed. The comparison with the so-called Chern–Simons state, which may be inappropriate as quantum state, allows us to conclude that the found wave functionals will give a plausible approximation to the ground state for the considered field theory.
© The Author(s), 2019
