Hi,

You can create a record rule and set domain as    <field name="domain_force">[('user_id', '=', user.id)]</field>  where user_id is the many2one field with co-model res.users and user.id will give the current logged in user.

See a sample:

<record id="rule_slide_channel_officer_cw" model="ir.rule">
    <field name="name">Channel: officer: create/write own only</field>
    <field name="model_id" ref="model_slide_channel"/>
    <field name="domain_force">[('user_id', '=', user.id)]</field>
    <field name="groups" eval="[(4, ref('group_website_slides_officer'))]"/>
    <field name="perm_unlink" eval="0"/>
    <field name="perm_write" eval="1"/>
    <field name="perm_read" eval="0"/>
    <field name="perm_create" eval="1"/>
</record>

To know more about the record rules in Odoo: Record Rules in Odoo

Thanks