Is replication possible on two different domains?

I am implementing a database replication between different geograhical locations where each one is on a different domain. After going through all the process, when I start the agent it runs and stops.

When I look at the details it shows:

Error messages:
The process could not connect to Subscriber 'Mydomain\myusername'. (Source: MSSQL_REPL, Error number: MSSQL_REPL20084)

Login failed. The login is from an untrusted domain and cannot be used with Windows authentication. (Source: MSSQLServer, Error number: 18452)